Question

Triangle abc has side lengths ab = 65, bc = 33, and ac = 56. find the radius of the circle tangent to side ac and bc and to the circumcircle of triangle abc.

Answer 1

The radius of the circle tangent to sides AC and BC and to the circumcircle of triangle ABC.

r= 24.

What is the radius of the circle tangent to sides AC and BC and to the circumcircle of triangle ABC.?

Generally, the equation for side lengths AB is  mathematically given as

Triangle ABC has side lengths

Where

• AB = 65,
• BC = 33,
• AC = 56.

Hence

r √ 2 · (89 √ 2/2 − r √ 2) = r(89 − 2r),

r = 89 − 65

r= 24.

In conclusion, The radius of the circle tangent to sides AC and BC and to the circumcircle of triangle ABC.

r= 24.

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