Question

I need to know x and y

Answer 1

x = 2

y = 2
`√(2)`

Explanation:

Special right triangles are triangles with specific angle measurements whose side lengths have patterns.

45-45-90 Triangle

The triangle above is a 45-45-90 triangle since it has two 45-degree angles. For this explanation, let a and b represent the legs of a right triangle and c be the hypotenuse. In this type of triangle, the legs are equal, so a=b. The hypotenuse is
`√(2)` times the leg length. So, c = a√2.

Finding x and y

In this problem, x is one of the legs. This means that x = 2 since 2 is the length of the leg. The y-value represents the hypotenuse, so we can multiply the leg by √2. Thus, y = 2√2.