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Directions:
Q. What is the length of the inradius of triangle ABC?
A. All the sides of triangle ABC are equal.
B. The area of triangle ABC is known.
C. The perimeter of triangle ABC is known.
The following question is accompanied by statements A, B and C. You have to determine the statement(s) which is/are sufficient to answer the question.
Q. What is the length of the inradius of triangle ABC?
A. All the sides of triangle ABC are equal.
B. The area of triangle ABC is known.
C. The perimeter of triangle ABC is known.
- a)Only A and B together are sufficient
- b)Only B and C together are sufficient
- c)Only A and C together are sufficient
- d)Any two of the given three statements are sufficient
- e)All the statements together are sufficient
Correct answer is option 'D'. Can you explain this answer?
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Directions:The following question is accompanied by statements A, B an...
Answer:
In order to determine the length of the inradius of triangle ABC, we need to have sufficient information about the triangle. Let's analyze each statement and see if it provides enough information to answer the question.
Statement A: All the sides of triangle ABC are equal.
- If all the sides of the triangle are equal, it means that triangle ABC is an equilateral triangle.
- In an equilateral triangle, the length of the inradius is given by the formula: inradius = (side length * √3) / 6.
- Therefore, statement A alone is sufficient to determine the length of the inradius.
Statement B: The area of triangle ABC is known.
- The area of a triangle is given by the formula: area = (base * height) / 2.
- However, knowing the area of the triangle alone does not provide enough information to determine the length of the inradius.
- Therefore, statement B alone is not sufficient to determine the length of the inradius.
Statement C: The perimeter of triangle ABC is known.
- Knowing the perimeter of the triangle alone does not provide enough information to determine the length of the inradius.
- Therefore, statement C alone is not sufficient to determine the length of the inradius.
Combining Statements A and B:
- If all the sides of the triangle are equal (equilateral triangle) and the area of the triangle is known, we can use the formula for the inradius mentioned earlier to determine its length.
- Therefore, combining statements A and B together is sufficient to determine the length of the inradius.
Combining Statements B and C:
- Knowing the area and the perimeter of the triangle does not provide enough information to determine the length of the inradius.
- Therefore, combining statements B and C together is not sufficient to determine the length of the inradius.
Combining Statements A and C:
- If all the sides of the triangle are equal (equilateral triangle) and the perimeter of the triangle is known, we can determine the length of each side of the triangle.
- However, knowing the length of each side alone does not provide enough information to determine the length of the inradius.
- Therefore, combining statements A and C together is not sufficient to determine the length of the inradius.
Combining all the statements:
- By combining all the statements together, we have information about the sides, area, and perimeter of the triangle.
- With this information, we can determine the length of the inradius using the formulas mentioned earlier.
- Therefore, all the statements together are sufficient to determine the length of the inradius.
Hence, the correct answer is option 'D'.
In order to determine the length of the inradius of triangle ABC, we need to have sufficient information about the triangle. Let's analyze each statement and see if it provides enough information to answer the question.
Statement A: All the sides of triangle ABC are equal.
- If all the sides of the triangle are equal, it means that triangle ABC is an equilateral triangle.
- In an equilateral triangle, the length of the inradius is given by the formula: inradius = (side length * √3) / 6.
- Therefore, statement A alone is sufficient to determine the length of the inradius.
Statement B: The area of triangle ABC is known.
- The area of a triangle is given by the formula: area = (base * height) / 2.
- However, knowing the area of the triangle alone does not provide enough information to determine the length of the inradius.
- Therefore, statement B alone is not sufficient to determine the length of the inradius.
Statement C: The perimeter of triangle ABC is known.
- Knowing the perimeter of the triangle alone does not provide enough information to determine the length of the inradius.
- Therefore, statement C alone is not sufficient to determine the length of the inradius.
Combining Statements A and B:
- If all the sides of the triangle are equal (equilateral triangle) and the area of the triangle is known, we can use the formula for the inradius mentioned earlier to determine its length.
- Therefore, combining statements A and B together is sufficient to determine the length of the inradius.
Combining Statements B and C:
- Knowing the area and the perimeter of the triangle does not provide enough information to determine the length of the inradius.
- Therefore, combining statements B and C together is not sufficient to determine the length of the inradius.
Combining Statements A and C:
- If all the sides of the triangle are equal (equilateral triangle) and the perimeter of the triangle is known, we can determine the length of each side of the triangle.
- However, knowing the length of each side alone does not provide enough information to determine the length of the inradius.
- Therefore, combining statements A and C together is not sufficient to determine the length of the inradius.
Combining all the statements:
- By combining all the statements together, we have information about the sides, area, and perimeter of the triangle.
- With this information, we can determine the length of the inradius using the formulas mentioned earlier.
- Therefore, all the statements together are sufficient to determine the length of the inradius.
Hence, the correct answer is option 'D'.
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Directions:The following question is accompanied by statements A, B and C. You have to determine the statement(s) which is/are sufficient to answer the question.Q. What is the length of the inradius of triangle ABC?A. All the sides of triangle ABC are equal.B. The area of triangle ABC is known.C. The perimeter of triangle ABC is known.a)Only A and B together are sufficientb)Only B and C together are sufficientc)Only A and C together are sufficientd)Any two of the given three statements are sufficiente)All the statements together are sufficientCorrect answer is option 'D'. Can you explain this answer?
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Directions:The following question is accompanied by statements A, B and C. You have to determine the statement(s) which is/are sufficient to answer the question.Q. What is the length of the inradius of triangle ABC?A. All the sides of triangle ABC are equal.B. The area of triangle ABC is known.C. The perimeter of triangle ABC is known.a)Only A and B together are sufficientb)Only B and C together are sufficientc)Only A and C together are sufficientd)Any two of the given three statements are sufficiente)All the statements together are sufficientCorrect answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Directions:The following question is accompanied by statements A, B and C. You have to determine the statement(s) which is/are sufficient to answer the question.Q. What is the length of the inradius of triangle ABC?A. All the sides of triangle ABC are equal.B. The area of triangle ABC is known.C. The perimeter of triangle ABC is known.a)Only A and B together are sufficientb)Only B and C together are sufficientc)Only A and C together are sufficientd)Any two of the given three statements are sufficiente)All the statements together are sufficientCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions:The following question is accompanied by statements A, B and C. You have to determine the statement(s) which is/are sufficient to answer the question.Q. What is the length of the inradius of triangle ABC?A. All the sides of triangle ABC are equal.B. The area of triangle ABC is known.C. The perimeter of triangle ABC is known.a)Only A and B together are sufficientb)Only B and C together are sufficientc)Only A and C together are sufficientd)Any two of the given three statements are sufficiente)All the statements together are sufficientCorrect answer is option 'D'. Can you explain this answer?.
Directions:The following question is accompanied by statements A, B and C. You have to determine the statement(s) which is/are sufficient to answer the question.Q. What is the length of the inradius of triangle ABC?A. All the sides of triangle ABC are equal.B. The area of triangle ABC is known.C. The perimeter of triangle ABC is known.a)Only A and B together are sufficientb)Only B and C together are sufficientc)Only A and C together are sufficientd)Any two of the given three statements are sufficiente)All the statements together are sufficientCorrect answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Directions:The following question is accompanied by statements A, B and C. You have to determine the statement(s) which is/are sufficient to answer the question.Q. What is the length of the inradius of triangle ABC?A. All the sides of triangle ABC are equal.B. The area of triangle ABC is known.C. The perimeter of triangle ABC is known.a)Only A and B together are sufficientb)Only B and C together are sufficientc)Only A and C together are sufficientd)Any two of the given three statements are sufficiente)All the statements together are sufficientCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions:The following question is accompanied by statements A, B and C. You have to determine the statement(s) which is/are sufficient to answer the question.Q. What is the length of the inradius of triangle ABC?A. All the sides of triangle ABC are equal.B. The area of triangle ABC is known.C. The perimeter of triangle ABC is known.a)Only A and B together are sufficientb)Only B and C together are sufficientc)Only A and C together are sufficientd)Any two of the given three statements are sufficiente)All the statements together are sufficientCorrect answer is option 'D'. Can you explain this answer?.
Solutions for Directions:The following question is accompanied by statements A, B and C. You have to determine the statement(s) which is/are sufficient to answer the question.Q. What is the length of the inradius of triangle ABC?A. All the sides of triangle ABC are equal.B. The area of triangle ABC is known.C. The perimeter of triangle ABC is known.a)Only A and B together are sufficientb)Only B and C together are sufficientc)Only A and C together are sufficientd)Any two of the given three statements are sufficiente)All the statements together are sufficientCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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Here you can find the meaning of Directions:The following question is accompanied by statements A, B and C. You have to determine the statement(s) which is/are sufficient to answer the question.Q. What is the length of the inradius of triangle ABC?A. All the sides of triangle ABC are equal.B. The area of triangle ABC is known.C. The perimeter of triangle ABC is known.a)Only A and B together are sufficientb)Only B and C together are sufficientc)Only A and C together are sufficientd)Any two of the given three statements are sufficiente)All the statements together are sufficientCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Directions:The following question is accompanied by statements A, B and C. You have to determine the statement(s) which is/are sufficient to answer the question.Q. What is the length of the inradius of triangle ABC?A. All the sides of triangle ABC are equal.B. The area of triangle ABC is known.C. The perimeter of triangle ABC is known.a)Only A and B together are sufficientb)Only B and C together are sufficientc)Only A and C together are sufficientd)Any two of the given three statements are sufficiente)All the statements together are sufficientCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for Directions:The following question is accompanied by statements A, B and C. You have to determine the statement(s) which is/are sufficient to answer the question.Q. What is the length of the inradius of triangle ABC?A. All the sides of triangle ABC are equal.B. The area of triangle ABC is known.C. The perimeter of triangle ABC is known.a)Only A and B together are sufficientb)Only B and C together are sufficientc)Only A and C together are sufficientd)Any two of the given three statements are sufficiente)All the statements together are sufficientCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of Directions:The following question is accompanied by statements A, B and C. You have to determine the statement(s) which is/are sufficient to answer the question.Q. What is the length of the inradius of triangle ABC?A. All the sides of triangle ABC are equal.B. The area of triangle ABC is known.C. The perimeter of triangle ABC is known.a)Only A and B together are sufficientb)Only B and C together are sufficientc)Only A and C together are sufficientd)Any two of the given three statements are sufficiente)All the statements together are sufficientCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Directions:The following question is accompanied by statements A, B and C. You have to determine the statement(s) which is/are sufficient to answer the question.Q. What is the length of the inradius of triangle ABC?A. All the sides of triangle ABC are equal.B. The area of triangle ABC is known.C. The perimeter of triangle ABC is known.a)Only A and B together are sufficientb)Only B and C together are sufficientc)Only A and C together are sufficientd)Any two of the given three statements are sufficiente)All the statements together are sufficientCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice CAT tests.
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