SOLUTION: The equal sides of an isosceles triangle have lengths of (5x – 30) and (3x + 10).
What is the greatest possible integer value of the third side?
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What is the greatest possible integer value of the third side?
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Question 257424: The equal sides of an isosceles triangle have lengths of (5x – 30) and (3x + 10).
What is the greatest possible integer value of the third side? Answer by drk(1908) (Show Source):
You can put this solution on YOUR website! We set the two sides equal to each other as
5x – 30 = 3x + 10
Solving for x, we get
Now, each side is worth 70.
We have a 70, 70, and x sided triangle.
Using the triangle inequality theorem, we get
70-70 < x < 70+70
or
0 < x < 140.
The greatest integer < 140 is 139.
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