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ABC is right angled triangle at A with sides 6, 8, 10. What is the side of the square that can be inscribed inside the ∆ABC such that one of the side of the square lies on the hypotenuses of the triangle?
  • a)
    1.56
  • b)
    2.15
  • c)
    4.10
  • d)
    3.24
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
ABC is right angled triangle at A with sides 6, 8, 10. What is the si...
Consider the figure shown, Area of the triangle ABC, = 24
So, Altitude x + y = 48/10 = 4.8
Let DE = y
Again, ΔADE ≅ △ABC
DE / BC = x / x + y
or,
48 − x / 10 = x / 48( as DE = y = 4.8 − x)
or, 14.8x = 4.82 or, x = 1.56( approx )
Therefore y = 4.8 − 1.56 = 3.24. Hence the correct option is 4
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ABC is right angled triangle at A with sides 6, 8, 10. What is the side of the square that can be inscribed inside the ∆ABC such that one of the side of the square lies on the hypotenuses of the triangle?a)1.56b)2.15c)4.10d)3.24Correct answer is option 'D'. Can you explain this answer?
Question Description
ABC is right angled triangle at A with sides 6, 8, 10. What is the side of the square that can be inscribed inside the ∆ABC such that one of the side of the square lies on the hypotenuses of the triangle?a)1.56b)2.15c)4.10d)3.24Correct 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 ABC is right angled triangle at A with sides 6, 8, 10. What is the side of the square that can be inscribed inside the ∆ABC such that one of the side of the square lies on the hypotenuses of the triangle?a)1.56b)2.15c)4.10d)3.24Correct 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 ABC is right angled triangle at A with sides 6, 8, 10. What is the side of the square that can be inscribed inside the ∆ABC such that one of the side of the square lies on the hypotenuses of the triangle?a)1.56b)2.15c)4.10d)3.24Correct answer is option 'D'. Can you explain this answer?.
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