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?
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?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
CP = BC
BC = sqrt(AC2 - AB2) = 8
The question should be: What is the length of a radius OP?
