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2009 AMC 10B Problem 16

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2009 AMC 10B Problem 16AMC 10 Step by Step

Name: Date: September 13, 2026

Circles · difficulty 2 of 5 · about 3 min · position P16-20

Points $A$ and $C$ lie on a circle centered at $O$ , each of $\overline{BA}$ and $\overline{BC}$ are tangent to the circle, and $\triangle ABC$ is equilateral. The circle intersects $\overline{BO}$ at $D$ . What is $\frac{BD}{BO}$ ?

A)
$\frac {\sqrt2}{3}$
B)
$\frac {1}{2}$
C)
$\frac {\sqrt3}{3}$
D)
$\frac {\sqrt2}{2}$
E)
$\frac {\sqrt3}{2}$

2009 AMC 10B Problem 16

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