Question

Two sides of a triangle have the following measures. Find the range of possible measures for the third side.

9, 5

Answer 1

The length of the third side, L, is greater than 4 and less than 14.

4 < L < 14

Explanation:

The length of any side of a triangle is between the sum and difference of the lengths of the other two sides.

sum of lengths of the 2 sides: 9 + 5 = 14

difference of length of 2 sides: 9 - 5 = 4

The length of the third side is greater than 4 and less than 14.

4 < L < 14