Question

What is the value of x?

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x =

Answer 1

x = 8 cm

Explanation:

Given:

A right triangle

The length of hypotenuse is equal to 10

The length of the shorter leg is equal to 6

Find: x - ? (the longer leg)

According to the Pythagorean theorem:

`{x}^(2) = {10}^(2) - {6}^(2)`

`{x}^(2) = 100 - 36 = 64`

`x > 0`

`x = √(64) = 8 \: cm`