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 ci

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.

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Dâu 1 month 2022-12-24T11:19:48+00:00 1 Answer 0 views 0

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    2022-12-24T11:21:28+00:00
    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.
    Read more about radius
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