Question

A triangle has one side that is 4 centimeters long and one that is 9 centimeters long. The third side is a whole number of centimeters. What is the longest possible third side?

Answer 1

12 cm

Explanation:

You want the longest possible integer length of the third side of a triangle with sides 4 cm and 9 cm.

Triangle inequality

The triangle inequality requires the longest side be less than the sum of the other two sides:

x < 9 cm + 4 cm

x < 13 cm

The largest integer length less than 13 cm is 12 cm.

The longest possible third side is 12 cm.

<95141404393>