Question

The lengths of the sides of a triangle are integral. If the perimeter of the triangle is 6 cm, then how
many such triangles are possible.​

Answer 1

Step-by-step explanation:

It’s pretty clear only the 2/2/2 equilateral triangle has natural sides and a perimeter of 6.

If one side is 1, the others add to 5, so are 1 and 4 (not a real triangle 1+1<4) or 2 and 3, also not a real triangle, but a degenerate one.

If the side is 2, we get the other two sides add to 4, so 1+3, already ruled out, or 2+2, the equilateral triangle.

If the side is 3, the other two add to 3, 1+2 is the only possibility and that’s the degenerate triangle again.

It’s worse for sides 4,5,6,7… so we conclude the side 2 equilateral triangle is the only triangle with natural number length sides and a perimeter of 6

Answer 2

Answer:

one

Step-by-step explanation:

hope it helps you

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this is the defenite answer