Answer:
[tex]4\sqrt{2}[/tex]
Step-by-step explanation:
So first, you find the height of the triangle, so you can use the Pythagorean Theorem:
[tex]3^2 + h^2 = 5^2\\9 + h^2 = 25\\h^2 = 16\\h = 4[/tex]
So the height is 4.
Then, since the right triangle is a 45 - 45 - 90 triangle, you have the ratio of the sides is a:a:[tex]\sqrt{2} a[/tex]
Since you have the value of a = 4, the value of x, is a [tex]* \sqrt{2}[/tex] = [tex]4\sqrt{2}[/tex]
