Problem

Problem of the Day #44

POTD January 18, 2024

Let $ABC$ be a triangle with $AB=5$ , $BC=6$ , and $CA=7$ . Let the circle with diameter $AB$ intersect the incircle at $D$ and $E$ , and let $DE$ intersect $AB$ at $H$ . If the incircle is tangent to $AB$ at $G$ then find $GH$

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Category: Problem of the Day
Points: 4
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