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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?
  • a)
    74
  • b)
    52
  • c)
    13
  • d)
    23
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A right angled triangle has a height ‘p’, base ‘b&rs...
We know that,
h2 = p2 + b2 Given, p and b are positive integer, so h2 will be sum of two perfect squares.

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
Therefore the answer is Option D.
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Most Upvoted Answer
A right angled triangle has a height ‘p’, base ‘b&rs...
A right-angled triangle has a height that is the length of the line segment perpendicular to the base, drawn from the vertex opposite the hypotenuse.
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A right angled triangle has a height ‘p’, base ‘b’ and hypotenuse ‘h’. Which of the following value can h2not take, given that p and b are positive integers?a)74b)52c)13d)23Correct answer is option 'D'. Can you explain this answer?
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