Question

Find x A. 46–√ B. 32 C. 43–√ D. 6–√

Answer 1

`\textbf{A. }4√(6)`

Explanation:

The hypotenuse of the isosceles right triangle is √2 times the length of one leg, so is 6√2.

The hypotenuse of the 30°-60°-90° right triangle is 2/√3 times the length of the longer leg.

`x=(2)/(√(3))\cdot 6√(2)\\\\=((2√(3))(6√(2)))/(3)\quad\text{rationalize the denominator}\\\\\boxed{x=4√(6)}`