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2 years ago

In diagram, point M is a point of tangency, NM = 336, and NP = 294. What is the radius of point K?

Mathematics

1 answer:

harina [27]2 years ago

6 0

As M is a point of tangency, KN and MN are perpendicular.
Therefore : KN² = KM² + MN²
(radius + NP)² = radius² + 336²
(radius + 294)² = radius² + 336²
radius² + 2*294*radius + 294² = radius² + 336²
588radius = 336² - 294²
radius = 26460/588
radius = 45

Hope that clear and helpful

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