Pythagorean therom

Question

If the length of the shorter leg of a right triangle is 5 cm and the length of the hypotenuse is 8 cm, find the length of the longer leg.

 

Answer 1

Pythagorean theorem,

 

(Hypotenuse)² = (Longer leg)² +( Shorter leg)²

(8)² =(Longer leg)² +(5)²

64 = (Longer leg)² + 25

64-25 =(Longer leg)²

39 =(Longer leg)²

taking square root on both the sides,

6.245 cm= Longer leg