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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

Respuesta :

joseaaronlara

Answer:

The answer to your question is  4 ft

Step-by-step 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

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The answer to your question is  4 ft

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