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2018 AMC 10A Problem 24

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2018 AMC 10A Problem 24AMC 10 Step by Step

Name: Date: September 13, 2026

Triangle Centers & Cevians · difficulty 4 of 5 · about 6 min · position P21-25

Triangle $ABC$ with $AB=50$ and $AC=10$ has area $120$ . Let $D$ be the midpoint of $\overline{AB}$ , and let $E$ be the midpoint of $\overline{AC}$ . The angle bisector of $\angle BAC$ intersects $\overline{DE}$ and $\overline{BC}$ at $F$ and $G$ , respectively. What is the area of quadrilateral $FDBG$ ?

A)
$60$
B)
$65$
C)
$70$
D)
$75$
E)
$80$

2018 AMC 10A Problem 24

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