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.
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