Question

What is the length of the hypotenuse for a right triangle with legs of length 9 and 40? A) 41 B) 43 C) 45 D) 47

Answer 1

A) 41

Explanation:

Let the hypotenuse be denoted by h

perpendicular as p and base as b

According to the Pythagoras theorem

h²=p²+b²

`h = \sqrt{ {p}^(2) + {b}^(2) }`

`h = \sqrt{ {(40)}^(2) + {(9)}^(2) }`

`h = √(1600 + 81) = √(1681)`

`h = 41`