Ononot — In \triangle ABC, the side lengths are c = 8, a = 10, b = 12

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Euclidean 2Dhard

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In $\triangle ABC$ , the side lengths are $c = 8, a = 10, b = 12$ . Let $AD$ be the angle bisector of $\angle A$ with $D$ on $BC$ . What is the ratio of the area of $\triangle ABD$ to the area of $\triangle ACD$ ?