Question

If the hypotenuse of a right triangle is 125 units long and the short leg adjacent to the right angle is 32 units long, then determine the length of the of the long leg of the triangle.

Answer 1

A^2+b^2=c^2
32^2+b^2=125^2
1024+b^2=15625
-1024 -1024
b^2=14601
√b^2=√14601
b=120.834598
Therefore the length if the leg is about 120.8 units long

Answer 2

Answer:

$120.83\ units$

Step-by-step explanation:

we know that

In a right triangle applying the Pythagoras theorem

$c^{2}=a^{2}+b^{2}$

where

c is the hypotenuse of the right triangle ( the greater side)

a,b are the legs of the right triangle

In this problem we have

$c=125\ units$

$a=32\ units$

substitute and solve for b

$125^{2}=32^{2}+b^{2}$

$b^{2}=125^{2}-32^{2}$

$b^{2}=14,601$

$b=120.83\ units$