AMC / AIME · Triangle Inequality · Easy

Triangle Inequality: A triangle has sides math. If math is an integer, find its greatest value.

Existence and bounds.

Try the problem

A triangle has sides 6,8,x6,8,x. If xx is an integer, find its greatest value.

Hint and answer

Concept to use

Basic inequality.

Hint

The sum of two sides must exceed the third.

Answer

13

More Triangle Inequality problems

Practice more with the free Triangle Inequality worksheet generator, or browse the full problem library.