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

## Answer this Question

## Related Questions

geometry - a perimeter of 15 cm two or more equal sides and each side a whole ...

algebra - Jeff made some designs using equilateral triangles, as shown bellow. ...

math - How many different triangles can you make with a perimeter of 12 units ...

math - Represent the above relationship between the number of triangles and the ...

math - how can you estimate heights and distances you can't easily measure with ...

math - how can you estimate heights and distances you can't easily measure with ...

math - the lengths of the sides of four triangles are listed as follows. which ...

Math - One of two similar triangles has an area of 1/4 times that of the other. ...

Algebra - represent the relationship between the number of triangles and the ...

math - The scale factor of two similar triangles is 2/5. if the perimeter of the...