SOLUTION: Find the range for the measure of the third side of a triangle if the measures of the two sides are 23 meters & 39 meters.

Question 464258: Find the range for the measure of the third side of a triangle if the measures of the two sides are 23 meters & 39 meters.
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
By the triangle inequality, the third side length must be between 16 m and 62 m (39-23 and 39+23). To visualize it, fix the side of length 39, and draw a circle of radius 23 with center at one of the endpoints:

We see that the minimum length of the green segment is 16, and the maximum length is (16+23) + 23 = 62.
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