Question

Find the height of X. Having a hard time figuring this out

Answer 1

Use the pythagorean theorem:
$a^2 +b^2 = c^2$

where c is the hypotenuse of the triangle.

$x^2 +12^2 = 14^2 \\ \\ x^2 +144 = 196 \\ \\ x^2 = 52 \\ \\ x = \sqrt{52} = 2 \sqrt{13}$