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2019 AMC 10B Problem 16

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2019 AMC 10B Problem 16AMC 10 Step by Step

Name: Date: September 13, 2026

Triangles: Area & Pythagorean · difficulty 4 of 5 · about 7 min · position P16-20

In $\triangle ABC$ with a right angle at $C,$ point $D$ lies in the interior of $\overline{AB}$ and point $E$ lies in the interior of $\overline{BC}$ so that $AC=CD,$ $DE=EB,$ and the ratio $AC:DE=4:3.$ What is the ratio $AD:DB?$

A)
$2:3$
B)
$2:\sqrt{5}$
C)
$1:1$
D)
$3:\sqrt{5}$
E)
$3:2$

2019 AMC 10B Problem 16

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