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?

Algebra ->  Triangles -> 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?      Log On


   

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) About Me  (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) About Me  (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.