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2019 AMC 10A Problem 21

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2019 AMC 10A Problem 21AMC 10 Step by Step

Name: Date: September 13, 2026

Solid Geometry · difficulty 4 of 5 · about 5 min · position P21-25

A sphere with center $O$ has radius 6. A triangle with sides of length $15$ , $15$ , and $24$ is situated in space so that each of its sides are tangent to the sphere. What is the distance between $O$ and the plane determined by the triangle?

A)
$2\sqrt{3}$
B)
$4$
C)
$3\sqrt{2}$
D)
$2\sqrt{5}$
E)
$5$

2019 AMC 10A Problem 21

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