Triangle Inequality Theorem Concepts

Front

What does the Triangle Inequality Theorem state about the sides of a triangle?

Back

The sum of any two side lengths of a triangle is greater than the third side.

Front

For three given side lengths to form a triangle, what must be true about the sum of any two sides compared to the third side?

Back

The sum must be greater than the third side.

Front

Can a triangle be formed with side lengths 2, 3, and 6?

Back

No, because 2 + 3 = 5, which is not greater than 6.

Front

Can a triangle be formed with side lengths 4, 5, and 7?

Back

Yes, because the sum of any two sides is greater than the third side.