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AB and AC are common tangents from point A to a circle, where B and C lie on the circle.  P is on AB, and R is on AC, so that PR is tangent to the circle.  The perimeter of triangle APR is 30, and BC = 10.  Find the perimeter of triangle ABC.

 May 18, 2020
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AB and AC are common tangents from point A to a circle, where B and C lie on the circle.  P is on AB, and R is on AC so that PR is tangent to the circle.  The perimeter of triangle APR is 30, and BC = 10.  Find the perimeter of triangle ABC.

 

Hint: 

 

If AP = AR, then PC = 9.357483637

 

Area of Δ APR = 40.98780306 u²  smiley

 May 19, 2020
edited by Dragan  May 19, 2020
edited by Dragan  May 19, 2020

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