SOLUTION: Dear : The tutor I cant interpret this question ,kindly help me out How many different triangles can be made with a perimeter of 12matches.

Question 737271: Dear : The tutor
I cant interpret this question ,kindly help me out
How many different triangles can be made with a perimeter of 12matches.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
The perimeter of a triangle can be found using:
, where , , and are the lengths of the sides of the triangle.
You also have the rules:

These are true for all triangles.
The most important thing to be kept in mind is the triangle inequality theorem that says that the sum of any two sides is than the third side
If the sides do this theorem, then the triangle is

this is also good to remember:
first triangle among many triangles with perimeter , the most famous is the triangle, the triangle with sides , , and (or a similar one.) Since , we are assured by the converse of the Pythagorean theorem that the triangle is right.
so, first solution is

Keeping this in mind we get the following combinations:
....... theorem, the triangle is
...... theorem, the triangle is
so, if , the possible triangles, written , are:

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