Posted by JV on Monday, March 28, 2011 at 6:21pm.
Assume that the sides of triangles are limited to
wholenumber 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  I have a triangle with equal sides. Then a s cons triangle is put in the ...
 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 ...
 TRIANGLE HELP!!!! (MATH!)  The two triangles above are similar. a. Find x using...
 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. ...
More Related Questions