SOLUTION: How many different isosceles triangles can you find that have sides with integral lengths such that the perimeter or the triangle 20? I know that a+b+c =20 and that a=b, where do

Algebra ->  Triangles -> SOLUTION: How many different isosceles triangles can you find that have sides with integral lengths such that the perimeter or the triangle 20? I know that a+b+c =20 and that a=b, where do      Log On


   

Question 503210: How many different isosceles triangles can you find that have sides with integral lengths such that the perimeter or the triangle 20?
I know that a+b+c =20 and that a=b, where do i go from there?
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
You know that a = b = 10 is the maximum possible length of a side. {10,10,0} doesn't work, but {9,9,2}, {8,8,4}, {7,7,6}, {6,6,8} work. {5,5,10} doesn't work because 5+5 = 10, and it should be greater than 10 due to the triangle inequality.