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Question 18 :Let ABCD be a rectangle inscribed in a circle of radius 13 cm. Which one of the following pairs can represent, in cm, the possible length and breadth of ABCD?

  1. 25 , 10
  2. 24 , 12
  3. 25 , 9
  4. 10 , 24

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Explanatory Answer

Method of solving this CAT Question from Geometry
Geometry

Since, ABCD is a rectangle inscribed inside a circle
ABC must be a Right triangle
Given that radius of Circle = 13 cms

5, 12, 13 forms a Pythagorean Triplet
10, 24, 26 is also a Pythagorean triplet

So, 10 and 24 are possible length and breadth of ABCD

The question is "Let ABCD be a rectangle inscribed in a circle of radius 13 cm. Which one of the following pairs can represent, in cm, the possible length and breadth of ABCD?"

Hence, the answer is 10 , 24.

Choice D is the correct answer.

 

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