CAT Practice : Trigonometry

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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


  • Correct Answer
    Choice D. 23

Explanatory Answer

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

Answer choice (D)

Correct Answer: 23

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