Answer:
[tex]x = 2\sqrt 2[/tex]
Explanation:
Given
[tex]Hypotenuse = 4[/tex]
Required
Find x
Since the triangle is a 45-45-90 triangle, the following relationship exists
[tex]x^2 + x^2 = 4^2[/tex] --- i.e. the other legs are equal
So, we have:
[tex]2x^2 = 16[/tex]
Divide both sides by 2
[tex]x^2=8[/tex]
Take square roots of both sides
[tex]x = \sqrt 8[/tex]
Simplify
[tex]x = 2\sqrt 2[/tex]
