Question

Find the length of X?

Answer 1

`\textbf{B)}~ 2√(83)`

Explanation:

`\text{Apply Pythagorean theorem,}\\\\~~~~~~\text{Hypotenuse}^2 = \text{Base}^2 + \text{Perpendicular}^2\\\\\implies \left( 12 \sqrt 3\right)^2 = 10^2 + x^2\\\\\implies 144\cdot 3 = 100+x^2\\\\\implies 432 =100+x^2\\\\\implies 432-100=x^2\\\\\implies 332= x^2\\\\\implies x = √(332)\\\\\implies x=√(4 * 83)\\\\\implies x = 2√(83)`