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2022 AMC 10A Problem 13

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2022 AMC 10A Problem 13AMC 10 Step by Step

Name: Date: September 13, 2026

Triangle Centers & Cevians · difficulty 3 of 5 · about 6 min · position P11-15

Let $\triangle ABC$ be a scalene triangle. Point $P$ lies on $\overline{BC}$ so that $\overline{AP}$ bisects $\angle BAC.$ The line through $B$ perpendicular to $\overline{AP}$ intersects the line through $A$ parallel to $\overline{BC}$ at point $D.$ Suppose $BP=2$ and $PC=3.$ What is $AD?$

A)
$8$
B)
$9$
C)
$10$
D)
$11$
E)
$12$

2022 AMC 10A Problem 13

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