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Directions: If JK is tangent to circle L, find x

Directions: If JK is tangent to circle L, find x-example-1
User Plinio
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1 Answer

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If line JK is tangent to the circle L, the triangle JKM is a right triangle. Then, you can calculate the line JM by using the Pythagorean theorem, as follow:

KM² = KJ² + JM²

KJ = 7

KM = 25

Solve the equation for JM and replace the values of the other parameters:

JM = √(KM² - KJ²)

JM = √((25)² - (7)²)

JM = √(625 - 49)

JM =√(576)

JM = 24

next, consider that line JM is the diameter of the circle

User Valentin Golev
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