Posted by Ashley on Monday, May 23, 2011 at 8:14pm.
The length of each side can be calculated by the distance formula.
For example, between (x+4) and (4x-8), the distance is:
sqrt((4x-x)^2+(-8-4)^2)
Sum the three sides and force the inequality of
∑lengths≥88.
Solve for x.
Note that the sides of the triangle are monotonically increasing, which means that the sum is also.
You can solve by an iterative process. I get x(min)=13.55...
So the lengths of each side can be calculated accordingly.
x+4 + 4x-8 + 2x+8 ≥ 88
7x + 4 ≥ 88
7x ≥ 84
x ≥ 12
plug x = 12 into each of the side expressions
Thanks Reiny, I wasn't reading the question right!
Sorry, Ashley, please go with Reiny's answer.
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