Question

Find the value of x in this figure

Answer 1

If PQ is the tangent, then m∠P = 90°.

Therefore we can use the Pythagorean theorem:

$x^2=5^2+12^2\\\\x^2=25+144\\\\x^2=169\to x=\sqrt{169}\\\\\boxed{x=13}$

Answer: 13