Question

What is the value of x the triangle? PLS HELP

Answer 1

-- This is a right triangle. So you KNOW that

(one leg)² + (other leg)² = (hypotenuse)²

-- Also, since the acute angles are equal, the legs must be equal ... both x .

-- Plugging into the formula:

x² + x² = (4)²

2x² = (4)²

2x² = 16

x² = 8

√x² = √8

x = √8

x = √(4 · 2)

x = √4 · √2

x = 2 · √2

(That's choice D)