Triangle Inequality Theorem

Front

What is the Triangle Inequality Theorem?

Back

The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Front

List the side measures in order, shortest to longest: QM, QP, MP.

Back

MQ, MP, QP

Front

Identify the smallest angle in a triangle with angles ∠A, ∠B, ∠C.

Back

∠A

Front

Which of these lengths CANNOT represent the sides of a triangle: 32, 34, 60, 28, 30, 58, 13, 20, 27, 2, 4, 5?

Back

28, 30, 58

Front

List the angles in order by measure, smallest to largest: ∠B, ∠A, ∠C.

Back

∠A, ∠C, ∠B

Front

Identify the shortest side measure among QP, QM, MP.

Back

QM

Front

If a triangle has sides of lengths 5, 7, and 12, does it satisfy the Triangle Inequality Theorem?

Back

No, because 5 + 7 is not greater than 12.

Front

What is the relationship between the angles and sides of a triangle?

Back

The largest angle is opposite the longest side, and the smallest angle is opposite the shortest side.

Front

If one side of a triangle is 10 and another is 15, what is the range of possible lengths for the third side?

Back

The third side must be greater than 5 and less than 25.

Front

What is the sum of the angles in any triangle?

Back

The sum of the angles in any triangle is always 180 degrees.