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The question below is from previous year CAT question from CAT 2018 exam comes from CAT Mensuration : Let ABCD be a rectangle inscribed in a circle . Find out by answering this question which tests an aspirant’s Quantitative Ability Skills:
Q. 2: 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. 24, 10
2. 25, 9
3. 24, 12
4. 25, 10
As ABCD is a rectangle angles A,B,C and D will be 90°. Thus AC will be diameter of circle of length 13*2 = 26
So length , width and 26 will form a Pythagorean triplet . From given options ,
only option 1. 24, 10 satisfy this condition as