# CAT Practice : Trigonometry

You are here: Home  CAT Questionbank   CAT Quant  Geometry: Trigonometry  Question 10
Max and Min value of the given expression

## Right Triangle

Q.10: A right angled triangle has a height ‘p’, base ‘b’ and hypotenuse ‘h’. Which of the following value can h2 not take, given that p and b are positive integers?
1. 74
2. 52
3. 13
4. 23

Choice D. 23

## Detailed Solution

We know that,
h2 = p2 + b2 Given, p and b are positive integer, so h2 will be sum of two perfect square.
We see
a) 72 + 52 = 74
b) 62 + 42 = 52
c) 32 + 22 = 13
d) Can’t be expressed as a sum of two perfect squares

## Our Online Course, Now on Google Playstore!

### Fully Functional Course on Mobile

All features of the online course, including the classes, discussion board, quizes and more, on a mobile platform.

### Cache Content for Offline Viewing

Download videos onto your mobile so you can learn on the fly, even when the network gets choppy!

## More questions from Trigonometry

Trigonometry..........