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.

Guest May 18, 2020

#1**0 **

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

Dragan May 19, 2020