Question

How do i do this could you show step by step please?​

Answer 1

x = 2

Explanation:

This is a 45-45-90 special right triangle. The legs in this triangle are equal and the hypotenuse is leg multiplied with √2. Refer to the picture at the bottom.

One leg is x, the second leg is x and hypotenuse x√2.

`x √(2) = 2 √(2) \\\\\text{Divide both sides with } √(2) \text{ to isolate } x.\\(x √(2))/(√(2)) = (2 √(2))/(√(2))\\\\x = 2`