Quantitative Aptitude – Geometry – Mensuration – Let ABCD be a rectangle inscribed in a circle

Slot -1 – Quantitative Aptitude – Geometry – Mensuration – Let ABCD be a rectangle inscribed in a circle

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?
a) 25, 10
b) 24, 12
c) 25, 9
d) 24, 10

Answer: d) 24, 10

Solution:

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 d) 24, 10 satisfy this condition as
10^2+24^2=26^2

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