Posted by **JV** on Monday, March 28, 2011 at 6:21pm.

Assume that the sides of triangles are limited to

whole-number measures. How many different

triangles have a perimeter of 12 meters? Explain

how you determined this.

- math -
**MathMate**, Monday, March 28, 2011 at 7:47pm
The constraints are as follows:

any two sides of a triangle must be longer than the third side, so 1,6,5 because 1+5=6 (not greater) would not work, nor 2,2,8, because 2+2<8, etc.

So make a table of sides, and cross out the ones that do not work.

The sides a, b and c must be in ascending order so that you do not repeat the same triangles.

So the method of solution is by tabulation.

a b c OK?

1 4 7 X

1 5 6 X

2 4 6 X

2 5 5 OK

3 3 6 X

3 4 5 OK

4 4 4 OK

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