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Triangle ABC is an isosceles triangle with AB = AC and AD is the perpendicular dropped from vertex A on the side BC. What is the perimeter of triangle ABC?
(1) ∠BAD = 2∠ACD
(2) The perimeter of triangle ADB is 15 + 5√3
- a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
- b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
- c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
- d)EACH statement ALONE is sufficient to answer the question asked.
- e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Triangle ABC is an isosceles triangle with AB = AC and AD is the perpe...
Steps 1 & 2: Understand Question and Draw Inferences
Given:
- Isosceles ΔABC
- AB = AC
- So, perpendicular AD will bisect side BC.
- If we assume ∠ ABC to be xo, the different ∠s in the figure can be represented as below:
To find: Perimeter of ΔABC
- =AB + BC + CA
- = 2AB + BC
So, in order to find the perimeter, we need to know AC and BC
Knowing the ∠s may help us (because we may then employ trigonometric ratios)
Step 3: Analyze Statement 1 independently
(1) ∠BAD = 2∠ACD
90°- x° = 2x°
⇒ 3x° = 90°
⇒ x° = 30°
But we don’t know the magnitude of any side of the triangle. So, we cannot yet use trigonometric ratios to find the sides of the triangle.
Not sufficient.
Step 4: Analyze Statement 2 independently
(2) The perimeter of triangle ADB is 15 + 5√3
The value of 2AB + BC depends on the value of AD.
Since we do not know the value of AD, we cannot find the required value
Not sufficient.
- From Statement 2
- Using Equation II, a unique value of AD will be obtained
- Using Equation I, the value of 2AB + BC will be obtained
Sufficient.
Answer: Option C
Most Upvoted Answer
Triangle ABC is an isosceles triangle with AB = AC and AD is the perpe...
Statement (1): BAD = 2ACD
This statement provides information about the relationship between the angles in triangle ABC. It states that angle BAD is twice the size of angle ACD.
Statement (2): The perimeter of triangle ADB is 15
This statement provides information about the perimeter of triangle ADB, which is one of the triangles formed within triangle ABC.
Combined statements:
By combining the information from both statements, we can determine the perimeter of triangle ABC.
Analysis:
To find the perimeter of triangle ABC, we need to know the lengths of all three sides.
Let's analyze each statement separately.
Statement (1) alone:
This statement provides information about the relationship between the angles in triangle ABC. However, it does not provide any information about the lengths of the sides. Therefore, statement (1) alone is not sufficient to determine the perimeter of triangle ABC.
Statement (2) alone:
This statement provides information about the perimeter of triangle ADB, but it does not provide any information about the lengths of the sides of triangle ABC. Therefore, statement (2) alone is not sufficient to determine the perimeter of triangle ABC.
Combined statements:
By combining the information from both statements, we can determine the relationship between the angles in triangle ABC and also the perimeter of triangle ADB. However, we still do not have any information about the lengths of the sides of triangle ABC.
Conclusion:
Although the combined statements provide some information about the angles and perimeter of triangle ABC, we still do not have sufficient information to determine the lengths of its sides. Therefore, both statements together are not sufficient to determine the perimeter of triangle ABC.
Answer:
The correct answer is (E) Statements (1) and (2) together are not sufficient to answer the question asked, and additional data specific to the problem are needed.
This statement provides information about the relationship between the angles in triangle ABC. It states that angle BAD is twice the size of angle ACD.
Statement (2): The perimeter of triangle ADB is 15
This statement provides information about the perimeter of triangle ADB, which is one of the triangles formed within triangle ABC.
Combined statements:
By combining the information from both statements, we can determine the perimeter of triangle ABC.
Analysis:
To find the perimeter of triangle ABC, we need to know the lengths of all three sides.
Let's analyze each statement separately.
Statement (1) alone:
This statement provides information about the relationship between the angles in triangle ABC. However, it does not provide any information about the lengths of the sides. Therefore, statement (1) alone is not sufficient to determine the perimeter of triangle ABC.
Statement (2) alone:
This statement provides information about the perimeter of triangle ADB, but it does not provide any information about the lengths of the sides of triangle ABC. Therefore, statement (2) alone is not sufficient to determine the perimeter of triangle ABC.
Combined statements:
By combining the information from both statements, we can determine the relationship between the angles in triangle ABC and also the perimeter of triangle ADB. However, we still do not have any information about the lengths of the sides of triangle ABC.
Conclusion:
Although the combined statements provide some information about the angles and perimeter of triangle ABC, we still do not have sufficient information to determine the lengths of its sides. Therefore, both statements together are not sufficient to determine the perimeter of triangle ABC.
Answer:
The correct answer is (E) Statements (1) and (2) together are not sufficient to answer the question asked, and additional data specific to the problem are needed.
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Triangle ABC is an isosceles triangle with AB = AC and AD is the perpendicular dropped from vertex A on the side BC. What is the perimeter of triangle ABC?(1) ∠BAD = 2∠ACD(2) The perimeter of triangle ADB is 15 + 5√3a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'C'. Can you explain this answer?
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Triangle ABC is an isosceles triangle with AB = AC and AD is the perpendicular dropped from vertex A on the side BC. What is the perimeter of triangle ABC?(1) ∠BAD = 2∠ACD(2) The perimeter of triangle ADB is 15 + 5√3a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'C'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Triangle ABC is an isosceles triangle with AB = AC and AD is the perpendicular dropped from vertex A on the side BC. What is the perimeter of triangle ABC?(1) ∠BAD = 2∠ACD(2) The perimeter of triangle ADB is 15 + 5√3a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Triangle ABC is an isosceles triangle with AB = AC and AD is the perpendicular dropped from vertex A on the side BC. What is the perimeter of triangle ABC?(1) ∠BAD = 2∠ACD(2) The perimeter of triangle ADB is 15 + 5√3a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'C'. Can you explain this answer?.
Triangle ABC is an isosceles triangle with AB = AC and AD is the perpendicular dropped from vertex A on the side BC. What is the perimeter of triangle ABC?(1) ∠BAD = 2∠ACD(2) The perimeter of triangle ADB is 15 + 5√3a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'C'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Triangle ABC is an isosceles triangle with AB = AC and AD is the perpendicular dropped from vertex A on the side BC. What is the perimeter of triangle ABC?(1) ∠BAD = 2∠ACD(2) The perimeter of triangle ADB is 15 + 5√3a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Triangle ABC is an isosceles triangle with AB = AC and AD is the perpendicular dropped from vertex A on the side BC. What is the perimeter of triangle ABC?(1) ∠BAD = 2∠ACD(2) The perimeter of triangle ADB is 15 + 5√3a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'C'. Can you explain this answer?.
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Triangle ABC is an isosceles triangle with AB = AC and AD is the perpendicular dropped from vertex A on the side BC. What is the perimeter of triangle ABC?(1) ∠BAD = 2∠ACD(2) The perimeter of triangle ADB is 15 + 5√3a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Triangle ABC is an isosceles triangle with AB = AC and AD is the perpendicular dropped from vertex A on the side BC. What is the perimeter of triangle ABC?(1) ∠BAD = 2∠ACD(2) The perimeter of triangle ADB is 15 + 5√3a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Triangle ABC is an isosceles triangle with AB = AC and AD is the perpendicular dropped from vertex A on the side BC. What is the perimeter of triangle ABC?(1) ∠BAD = 2∠ACD(2) The perimeter of triangle ADB is 15 + 5√3a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Triangle ABC is an isosceles triangle with AB = AC and AD is the perpendicular dropped from vertex A on the side BC. What is the perimeter of triangle ABC?(1) ∠BAD = 2∠ACD(2) The perimeter of triangle ADB is 15 + 5√3a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice GMAT tests.
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