Question

What is the value of x in the triangle? a 45-45-90 triangle with leg length x and hypotenuse length 4

Answer 1

Answer:

$x = 2\sqrt 2$

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

$x = 2\sqrt 2$

Answer 2

Answer:

7√2

Explanation: