SOLUTION: The length of two sides are given. Find the range of possible length for the third side. 8 mm,12 mm

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Question 1107779: The length of two sides are given. Find the range of possible length for the third side.
8 mm,12 mm
Found 2 solutions by josgarithmetic, TeachMath:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Maybe this is a triangle figure. Let this unknown side be x.

You use Triangle Inequality Theorem. I'll set it up for your example but you can solve the rest of the way.

system%288%2B12%3Ex%2C8%2Bx%3E12%2Cx%2B12%3E8%29; but you will want to focus on the first two inequalities. (Because you know that x must be a positive real number.)

Answer by TeachMath(96) About Me  (Show Source):
You can put this solution on YOUR website!

4 mm < third side < 20 mm