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Line segment KL is tangent to circle J at point K

What is the length of the radius, r?
8 units
10 units
12 units
16 units

Line segment KL is tangent to circle J at point K What is the length of the radius-example-1

2 Answers

7 votes

Answer:

10 units

Explanation:

User Sedat Polat
by
4.5k points
7 votes

Answer:

Explanation:

KL is tangent to the circle, so angle JKL = 90°.

Pythagorean Theorem:

r² + 24² = (r+16)²

r² + 576 = r² + 32r + 256

32r = 320

r = 10 units

User Daniel Wehner
by
4.0k points