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2009 AMC 10B Problem 12

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2009 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

Distinct points $A$ , $B$ , $C$ , and $D$ lie on a line, with $AB=BC=CD=1$ . Points $E$ and $F$ lie on a second line, parallel to the first, with $EF=1$ . A triangle with positive area has three of the six points as its vertices. How many possible values are there for the area of the triangle?

A)
$3$
B)
$4$
C)
$5$
D)
$6$
E)
$7$

2009 AMC 10B Problem 12

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