A box contains one 2-inch rod, one 3-inch rod, one 4-inch rod, and one 5-inch rod. What is the maximum number of different triangles that can be made using these rods as sides?

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- September 26th 2008, 06:21 AMmagentaritaMax Numbers of Different Triangles
A box contains one 2-inch rod, one 3-inch rod, one 4-inch rod, and one 5-inch rod. What is the maximum number of different triangles that can be made using these rods as sides?

- September 27th 2008, 05:23 AMearboth
You are supposed to know the triangle inequality. If the sides of a triangle are a, b and c then the inequality

must be satisfied.

With your values you get:

So I've got 3 triangles maximum. Probably I've forgotten one or two combinations but I hope you know now how to do this question. - September 27th 2008, 05:25 AMmagentaritaearboth