Question

How much longer is the hypotenuse of the triangle than its shorter leg? Triangle A B C. Side A C is 6 feet and side C B is 8 feet. Hypotenuse A B is unknown. 2 ft 4 ft 8 ft 10 ft

Answer 1

The answer to your question is 4 ft

Answer 2

The answer to your question is 4 ft

Explanation:

Data

Side AC = 6 ft

Side CB = 8 ft

hypotenuse = ?

difference = ?

Process

1.- Calculate the hypotenuse using the Pythagorean theorem

c = hypotenuse

a = short leg

b = long leg

c² = a² + b²

-Substitution

c² = 6² + 8²

-Simplification

c² = 36 + 64

c² = 100

-Result

c = 10 ft

2.- Calculate the difference between the hypotenuse and the shorter leg.

difference = 10 - 6

= 4 ft