SOLUTION: Each side of an isosceles triangle is a whole number of centimeters.  Its perimeter has length 20cm.  What is the number of different possibilities for the lengths of the sides?

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Question 871735: Each side of an isosceles triangle is a whole number of centimeters.  Its perimeter has length 20cm.  What is the number of different possibilities for the lengths of the sides?
Found 2 solutions by ewatrrr, richwmiller:
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
Isosceles Triangle P = 20cm
3rd =sides
2 9
4 8
6 7
8 6
10 5 Albeit this would be an Equilateral Triangle
All that will work such that the longer side is less than the sum of the equal sides

Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
A triangle with sides 10, 5 and 5 would not be equilateral.
No matter what you call it, such a triangle is not possible either,
since the sum of two sides 5 and 5 is not greater than the third 10.

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