Question 439037: What would be one set of possible dimension for an isosceles triangle with a perimeter of 12 units?
Answer by robertb(5830)   (Show Source):
You can put this solution on YOUR website! Let x = length of one of the two congruent legs, and
y = the base.
Then 2x+y = 12.
From the triangle inequality, 2x > y ==> 2x > 12 - 2x
==> 4x > 12 ==> x > 3.
Hence the conditions that must be satisfied are y >0, x >3, and 2x + y = 12.
(for example, x = 7/2, y = 5, so that 2*x+y = 7 + 5 = 12.)
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