Question

AB is tangent to circle at B. Find x.

Answer 1

x = 6

Explanation:

using the Pythagorean theorem:

(4 + x)² = 8² + x²

16 + 8x + x² = 64 + x²

subtract x² and 16 from each side of the equation:

8x = 48

divide both sides by 8:

x = 6