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Let ABC be a triangle with AB = 13, BC = 14, and AC = 16. The incircle of ABC touches AB and AC at points D and E, respectively. The triangle’s A−excircle (tangent to segment BC and the extended rays AB and AC, outside ofthe triangle) touches BC at P. Find [ADE]/[BDP].

 Nov 8, 2022
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The answer is 10/3.

 Nov 8, 2022

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