AB is tangent to C. I need to find the value of r.

Mathematics

1 answer:

serious [3.7K]4 years ago

5 0

Tangent always meets radius at 90° angle.

Angle ABC = 90° so Pythagoras' theorem applies.

r² + 4² = (r+2)²
r² + 16 = r² + 4r + 4
12 = 4r
r = 3

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