Question

Find the length of side x in simplest radical form with a rational denominator.

Answer 1

Explanation:

given that both angles are the same, it is an equilateral right triangle.

we can use Pythagorean's theorem

`a^2 + b^2 = c^2\\(√(6))^2+(√(6))^2= c^2\\ 12 = c^2 \\c = √(12) = √(4*3) = 2√(3)`