2 Answers

Robert Mason · Answer 1 · 2022-04-15T18:23:34+0000

Answer:

$x = 2\sqrt 2$

Step-by-step explanation:

Given

Hypotenuse = 4

Required

Find x

Since the triangle is a 45-45-90 triangle, the following relationship exists

x^2 + x^2 = 4^2 --- i.e. the other legs are equal

So, we have:

2x^2 = 16

Divide both sides by 2

x^2=8

Take square roots of both sides

$x = \sqrt 8$

Simplify

$x = 2\sqrt 2$

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