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

Answer:

A) 41

Step-by-step explanation:

Let the hypotenuse be denoted by h

perpendicular as p and base as b

According to the Pythagoras theorem

h²=p²+b²

$h = \sqrt{ {p}^{2} + {b}^{2} }$

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

$h = \sqrt{1600 + 81} = \sqrt{1681}$

$h = 41$