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2016 AMC 10A Problem 21

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2016 AMC 10A Problem 21AMC 10 Step by Step

Name: Date: September 13, 2026

Circles · difficulty 4 of 5 · about 6 min · position P21-25

Circles with centers $P, Q$ and $R$ , having radii $1, 2$ and $3$ , respectively, lie on the same side of line $l$ and are tangent to $l$ at $P', Q'$ and $R'$ , respectively, with $Q'$ between $P'$ and $R'$ . The circle with center $Q$ is externally tangent to each of the other two circles. What is the area of triangle $PQR$ ?

A)
$0$
B)
$\sqrt{6}/3$
C)
$1$
D)
$\sqrt{6}-\sqrt{2}$
E)
$\sqrt{6}/2$

2016 AMC 10A Problem 21

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