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Suppose that we have a right triangle ABC with the right angle at B such that AC = sqrt(89) and AB = 5. A circle is drawn with its center on AB such that the circle is tangent to AC and BC. If P is the point where the circle and side AC meet, then what is CP?

 Jan 2, 2021
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Suppose that we have a right triangle ABC with the right angle at B such that AC = sqrt(89) and AB = 5. A circle is drawn with its center on AB such that the circle is tangent to AC and BC. If P is the point where the circle and side AC meet, then what is CP?

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CP = BC

 

BC = sqrt(AC2 - AB2) = 8

 

The question should be: What is the length of a radius OP?

 Jan 2, 2021
edited by Guest  Jan 2, 2021

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