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2017 AMC 10A Problem 10

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2017 AMC 10A Problem 10AMC 10 Step by Step

Name: Date: September 13, 2026

Triangles: Area & Pythagorean · difficulty 2 of 5 · about 3 min · position P1-10

Joy has $30$ thin rods, one each of every integer length from $1$ cm through $30$ cm. She places the rods with lengths $3$ cm, $7$ cm, and $15$ cm on a table. She then wants to choose a fourth rod that she can put with these three to form a quadrilateral with positive area. How many of the remaining rods can she choose as the fourth rod?

A)
$16$
B)
$17$
C)
$18$
D)
$19$
E)
$20$

2017 AMC 10A Problem 10

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