SOLUTION: The measure of two sides of a triangle are 8 and 50. Between what two numbers must the measure of the third side fall?

SOLUTION: The measure of two sides of a triangle are 8 and 50. Between what two numbers must the measure of the third side fall?

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Question 393409: The measure of two sides of a triangle are 8 and 50. Between what two numbers must the measure of the third side fall?
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
If x = length of the 3rd side. From the triangle inequality, we must have
x <8 + 50 = 58, and x + 8 > 50
==>x < 58 and x > 42.
Therefore,
42 < x < 58.

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