SOLUTION: Draw two different isosceles triangles with perimeter 4a + b

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Question 617897: Draw two different isosceles triangles with perimeter 4a + b
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
Draw two isosceles triangles and label them:

 Leg 1   +    Leg 2   +    Base   =  Perimeter 

  2a     +     2a     +     b     =   4a + b

  b/2    +    b/2     +    4a     =   4a + b

In the first case 4a must be greater than b, by the
triangle inequality.

In the second case, b must be greater than 4a. by the
triangle inequality

Do not give this as an answer:  

   a     +    a    +   2a + b  =   4a + b

because it does not satisfy the triangle inequality.

Edwin