2024 AIME I Problems/Problem 10

Problem

Let $ABC$ be a triangle inscribed in circle $\omega$ . Let the tangents to $\omega$ at $B$ and $C$ intersect at point $P$ , and let $\overline{AP}$ intersect $\omega$ at $D$ . Find $AD$ , if $AB=5$ , $BC=9$ , and $AC=10$ .

2024 AIME I (Problems • Answer Key • Resources)
Preceded by Problem 9	Followed by Problem 11
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15
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2024 AIME I Problems/Problem 10

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