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2012 AMC 10B Problem 12

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2012 AMC 10B Problem 12AMC 10 Step by Step

Name: Date: September 13, 2026

Triangles: Area & Pythagorean · difficulty 2 of 5 · about 3 min · position P11-15

Point $B$ is due east of point $A$ . Point $C$ is due north of point $B$ . The distance between points $A$ and $C$ is $10\sqrt 2$ , and $\angle BAC = 45^\circ$ . Point $D$ is $20$ meters due north of point $C$ . The distance $AD$ is between which two integers?

A)
$30 \text{and} 31$
B)
$31 \text{and} 32$
C)
$32 \text{and} 33$
D)
$33 \text{and} 34$
E)
$34 \text{and} 35$

2012 AMC 10B Problem 12

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