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2003 AMC 10A Problem 23

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2003 AMC 10A Problem 23AMC 10 Step by Step
Name:                             Date: September 13, 2026
Basic Counting · difficulty 4 of 5 · about 5 min · position P21-25

A large equilateral triangle is constructed by using toothpicks to create rows of small equilateral triangles. For example, in the figure, we have 33 rows of small congruent equilateral triangles, with 55 small triangles in the base row. How many toothpicks would be needed to construct a large equilateral triangle if the base row of the triangle consists of 20032003 small equilateral triangles?

figure

  1. A)

    1,004,0041,004,004

  2. B)

    1,005,0061,005,006

  3. C)

    1,507,5091,507,509

  4. D)

    3,015,0183,015,018

  5. E)

    6,021,0186,021,018

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