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

AB is tangent to C. I need to find the value of r.-example-1
User Beigirad
by
8.9k points

1 Answer

5 votes
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


User Latesha
by
7.7k points
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