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Data Sufficiency :Is triangle ABC with sides a, b and c acute angled?
Triangle with sides a2, b2, c2 has an area of 140 sq cms.
Median AD to side BC is equal to altitude AE to side BC.
Triangle with sides a2, b2, c2 has an area of 140 sq cms.
Median AD to side BC is equal to altitude AE to side BC.
- a)Statement ( 1 ) ALONE is sufficient but statement ( 2 ) alone is not sufficient.
- b)Statemrnt ( 2 ) ALONE is sufficient but statement ( 1 ) is not sufficient
- c)Both Stement TOGETHER are sufficient, but Neither statement ALONE is sufficient
- d)EACH stetement ALONE is sufficient
- e)Statement ( 1 ) and ( 2 ) TOGETHER are NOT Sufficient.
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Data Sufficiency:Is triangle ABC with sides a, b and c acute angled?Tr...
The statement provides us with one valuable information: we can form a triangle with sides a2, b2, c2.
For any triangle we know that sum of two sides is greater than the third side.
So, we can infer that a2 < b2 + c2.
The inequality above is the condition to be met if the triangle with sides a, b and c were to be an acute triangle.
Eliminate choices B, C and E. Choices narrow down to A or D.
Eliminate choices B, C and E. Choices narrow down to A or D.
Most Upvoted Answer
Data Sufficiency:Is triangle ABC with sides a, b and c acute angled?Tr...
To determine if triangle ABC with sides a, b, and c is acute angled, we need to consider the given information about the area and the lengths of the medians and altitudes.
Statement 1: Triangle with sides a^2, b^2, c^2 has an area of 140 sq cms.
Statement 2: Median AD to side BC is equal to altitude AE to side BC.
Let's analyze each statement separately:
Statement 1: Triangle with sides a^2, b^2, c^2 has an area of 140 sq cms.
This statement provides information about the area of the triangle but does not directly provide information about the angles of the triangle. The area of a triangle can be calculated using the formula: Area = (1/2) * base * height, where the base and height are the lengths of two sides of the triangle. Since we do not have the lengths of the sides, we cannot calculate the base and height. Therefore, statement 1 alone is not sufficient to determine if triangle ABC is acute angled.
Statement 2: Median AD to side BC is equal to altitude AE to side BC.
This statement provides information about the lengths of the medians and altitudes of the triangle. In an acute-angled triangle, the altitude from a vertex will be longer than the median from the same vertex. If the lengths of the median and altitude are equal, it means that the triangle is not acute angled. Therefore, statement 2 alone is sufficient to determine that triangle ABC is not acute angled.
Since statement 2 alone is sufficient to answer the question, but statement 1 is not, the correct answer is option A: Statement 1 alone is sufficient, but statement 2 alone is not sufficient.
Statement 1: Triangle with sides a^2, b^2, c^2 has an area of 140 sq cms.
Statement 2: Median AD to side BC is equal to altitude AE to side BC.
Let's analyze each statement separately:
Statement 1: Triangle with sides a^2, b^2, c^2 has an area of 140 sq cms.
This statement provides information about the area of the triangle but does not directly provide information about the angles of the triangle. The area of a triangle can be calculated using the formula: Area = (1/2) * base * height, where the base and height are the lengths of two sides of the triangle. Since we do not have the lengths of the sides, we cannot calculate the base and height. Therefore, statement 1 alone is not sufficient to determine if triangle ABC is acute angled.
Statement 2: Median AD to side BC is equal to altitude AE to side BC.
This statement provides information about the lengths of the medians and altitudes of the triangle. In an acute-angled triangle, the altitude from a vertex will be longer than the median from the same vertex. If the lengths of the median and altitude are equal, it means that the triangle is not acute angled. Therefore, statement 2 alone is sufficient to determine that triangle ABC is not acute angled.
Since statement 2 alone is sufficient to answer the question, but statement 1 is not, the correct answer is option A: Statement 1 alone is sufficient, but statement 2 alone is not sufficient.
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Data Sufficiency:Is triangle ABC with sides a, b and c acute angled?Triangle with sides a2, b2, c2has an area of 140 sq cms.Median AD to side BC is equal to altitude AE to side BC.a)Statement ( 1 ) ALONE is sufficient but statement ( 2 ) alone is not sufficient.b)Statemrnt ( 2 ) ALONE is sufficient but statement ( 1 ) is not sufficientc)Both Stement TOGETHER are sufficient, but Neither statement ALONE is sufficientd)EACH stetement ALONE is sufficiente)Statement ( 1 ) and ( 2 ) TOGETHER are NOT Sufficient.Correct answer is option 'A'. Can you explain this answer?
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Data Sufficiency:Is triangle ABC with sides a, b and c acute angled?Triangle with sides a2, b2, c2has an area of 140 sq cms.Median AD to side BC is equal to altitude AE to side BC.a)Statement ( 1 ) ALONE is sufficient but statement ( 2 ) alone is not sufficient.b)Statemrnt ( 2 ) ALONE is sufficient but statement ( 1 ) is not sufficientc)Both Stement TOGETHER are sufficient, but Neither statement ALONE is sufficientd)EACH stetement ALONE is sufficiente)Statement ( 1 ) and ( 2 ) TOGETHER are NOT Sufficient.Correct answer is option 'A'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Data Sufficiency:Is triangle ABC with sides a, b and c acute angled?Triangle with sides a2, b2, c2has an area of 140 sq cms.Median AD to side BC is equal to altitude AE to side BC.a)Statement ( 1 ) ALONE is sufficient but statement ( 2 ) alone is not sufficient.b)Statemrnt ( 2 ) ALONE is sufficient but statement ( 1 ) is not sufficientc)Both Stement TOGETHER are sufficient, but Neither statement ALONE is sufficientd)EACH stetement ALONE is sufficiente)Statement ( 1 ) and ( 2 ) TOGETHER are NOT Sufficient.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Data Sufficiency:Is triangle ABC with sides a, b and c acute angled?Triangle with sides a2, b2, c2has an area of 140 sq cms.Median AD to side BC is equal to altitude AE to side BC.a)Statement ( 1 ) ALONE is sufficient but statement ( 2 ) alone is not sufficient.b)Statemrnt ( 2 ) ALONE is sufficient but statement ( 1 ) is not sufficientc)Both Stement TOGETHER are sufficient, but Neither statement ALONE is sufficientd)EACH stetement ALONE is sufficiente)Statement ( 1 ) and ( 2 ) TOGETHER are NOT Sufficient.Correct answer is option 'A'. Can you explain this answer?.
Data Sufficiency:Is triangle ABC with sides a, b and c acute angled?Triangle with sides a2, b2, c2has an area of 140 sq cms.Median AD to side BC is equal to altitude AE to side BC.a)Statement ( 1 ) ALONE is sufficient but statement ( 2 ) alone is not sufficient.b)Statemrnt ( 2 ) ALONE is sufficient but statement ( 1 ) is not sufficientc)Both Stement TOGETHER are sufficient, but Neither statement ALONE is sufficientd)EACH stetement ALONE is sufficiente)Statement ( 1 ) and ( 2 ) TOGETHER are NOT Sufficient.Correct answer is option 'A'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Data Sufficiency:Is triangle ABC with sides a, b and c acute angled?Triangle with sides a2, b2, c2has an area of 140 sq cms.Median AD to side BC is equal to altitude AE to side BC.a)Statement ( 1 ) ALONE is sufficient but statement ( 2 ) alone is not sufficient.b)Statemrnt ( 2 ) ALONE is sufficient but statement ( 1 ) is not sufficientc)Both Stement TOGETHER are sufficient, but Neither statement ALONE is sufficientd)EACH stetement ALONE is sufficiente)Statement ( 1 ) and ( 2 ) TOGETHER are NOT Sufficient.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Data Sufficiency:Is triangle ABC with sides a, b and c acute angled?Triangle with sides a2, b2, c2has an area of 140 sq cms.Median AD to side BC is equal to altitude AE to side BC.a)Statement ( 1 ) ALONE is sufficient but statement ( 2 ) alone is not sufficient.b)Statemrnt ( 2 ) ALONE is sufficient but statement ( 1 ) is not sufficientc)Both Stement TOGETHER are sufficient, but Neither statement ALONE is sufficientd)EACH stetement ALONE is sufficiente)Statement ( 1 ) and ( 2 ) TOGETHER are NOT Sufficient.Correct answer is option 'A'. Can you explain this answer?.
Solutions for Data Sufficiency:Is triangle ABC with sides a, b and c acute angled?Triangle with sides a2, b2, c2has an area of 140 sq cms.Median AD to side BC is equal to altitude AE to side BC.a)Statement ( 1 ) ALONE is sufficient but statement ( 2 ) alone is not sufficient.b)Statemrnt ( 2 ) ALONE is sufficient but statement ( 1 ) is not sufficientc)Both Stement TOGETHER are sufficient, but Neither statement ALONE is sufficientd)EACH stetement ALONE is sufficiente)Statement ( 1 ) and ( 2 ) TOGETHER are NOT Sufficient.Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
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Data Sufficiency:Is triangle ABC with sides a, b and c acute angled?Triangle with sides a2, b2, c2has an area of 140 sq cms.Median AD to side BC is equal to altitude AE to side BC.a)Statement ( 1 ) ALONE is sufficient but statement ( 2 ) alone is not sufficient.b)Statemrnt ( 2 ) ALONE is sufficient but statement ( 1 ) is not sufficientc)Both Stement TOGETHER are sufficient, but Neither statement ALONE is sufficientd)EACH stetement ALONE is sufficiente)Statement ( 1 ) and ( 2 ) TOGETHER are NOT Sufficient.Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Data Sufficiency:Is triangle ABC with sides a, b and c acute angled?Triangle with sides a2, b2, c2has an area of 140 sq cms.Median AD to side BC is equal to altitude AE to side BC.a)Statement ( 1 ) ALONE is sufficient but statement ( 2 ) alone is not sufficient.b)Statemrnt ( 2 ) ALONE is sufficient but statement ( 1 ) is not sufficientc)Both Stement TOGETHER are sufficient, but Neither statement ALONE is sufficientd)EACH stetement ALONE is sufficiente)Statement ( 1 ) and ( 2 ) TOGETHER are NOT Sufficient.Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Data Sufficiency:Is triangle ABC with sides a, b and c acute angled?Triangle with sides a2, b2, c2has an area of 140 sq cms.Median AD to side BC is equal to altitude AE to side BC.a)Statement ( 1 ) ALONE is sufficient but statement ( 2 ) alone is not sufficient.b)Statemrnt ( 2 ) ALONE is sufficient but statement ( 1 ) is not sufficientc)Both Stement TOGETHER are sufficient, but Neither statement ALONE is sufficientd)EACH stetement ALONE is sufficiente)Statement ( 1 ) and ( 2 ) TOGETHER are NOT Sufficient.Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Data Sufficiency:Is triangle ABC with sides a, b and c acute angled?Triangle with sides a2, b2, c2has an area of 140 sq cms.Median AD to side BC is equal to altitude AE to side BC.a)Statement ( 1 ) ALONE is sufficient but statement ( 2 ) alone is not sufficient.b)Statemrnt ( 2 ) ALONE is sufficient but statement ( 1 ) is not sufficientc)Both Stement TOGETHER are sufficient, but Neither statement ALONE is sufficientd)EACH stetement ALONE is sufficiente)Statement ( 1 ) and ( 2 ) TOGETHER are NOT Sufficient.Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice GMAT tests.
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