Question 1170118: Give the range for the length of the third side of a triangle if the given two lengths are 8 centimeters and 15 centimeters.
Answer by math_helper(2461)   (Show Source):
You can put this solution on YOUR website! 7cm < x < 23cm
The triangle inequality states that for a triangle with side lengths a,b, and c: a+b>c, a+c>b, and b+c > a all hold true.
By the triangle inequality, x + 8 > 15 --> x > 7
Also by the triangle inequality, 8 + 15 > x --> 23 > x or, equivalently, x < 23
|
|
|
