Question

Find the value of x. Write answer in simplest form.

Answer 1

x=8

Explanation:

x²+x²=(8 root2)²

2x²=128

÷2 on both sides

=x²=64

square root each side

so x=8

Answer 2

Apply Pythagorean theorem

• P²+B²=H²
• x²+x²=(8√2)²
• 2x²=(8√2)²
• 2x²=128
• x²=128/2
• x²=64
• x=√64
• x=8