Question

Can some help me calculate the value of x?

Answer 1

Use the Pythagorean theorem to get the length PQ. Since ∆PQT is a right triangle, we have

PQ² + 15² = 25²   ==>   PQ = √(25² - 15²) = √400 = 20

Use the theorem again to get the length x :

x ² + 12² = PQ²   ==>   x = √(20² - 12²) = √256 = 16