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AB is tangent to circle at B. Find x.

AB is tangent to circle at B. Find x.-example-1
User MrJre
by
5.9k points

1 Answer

3 votes

Answer:

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

User Drubin
by
6.2k points