Answer:
![4√(2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/trxqkuqs3gvokl5e7vi44lsp8x15opv60g.png)
Explanation:
So first, you find the height of the triangle, so you can use the Pythagorean Theorem:
![3^2 + h^2 = 5^2\\9 + h^2 = 25\\h^2 = 16\\h = 4](https://img.qammunity.org/2022/formulas/mathematics/high-school/e2p08cbdxf4xk0rzjkavemr39gavo9yces.png)
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:
![√(2) a](https://img.qammunity.org/2022/formulas/mathematics/high-school/aupkv8nc5m1m3kdnbin6svbi61qskwkx0l.png)
Since you have the value of a = 4, the value of x, is a
=
![4√(2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/trxqkuqs3gvokl5e7vi44lsp8x15opv60g.png)