AMC / AIME · Triangle Inequality · Easy

Triangle Inequality: Find the greatest integer third side for sides math and math.

Existence and bounds.

Try the problem

Find the greatest integer third side for sides 44 and 77.

Hint and answer

Concept to use

Basic inequality.

Hint

The sum of two sides must exceed the third.

Answer

10

More Triangle Inequality problems

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