triangle inequality theorem flashcard review

Front

What is the Triangle Inequality Theorem?

Back

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

Front

List the side measures in order from shortest to longest for sides MQ, MP, QP.

Back

MQ, MP, QP

Front

Identify the shortest side measure among AC, BA, and BC.

Back

BC

Front

If the longest side of a triangle is 10, what must be true about the sum of the other two sides?

Back

The sum of the two shorter sides must be greater than 10.

Front

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

Back

∠A, ∠C, ∠B

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 5 and another is 7, what is the range of possible lengths for the third side?

Back

The length of the third side must be greater than 2 and less than 12.

Front

What does it mean if a triangle is classified as 'scalene'?

Back

A scalene triangle has all sides of different lengths.

Front

What does it mean if a triangle is classified as 'isosceles'?

Back

An isosceles triangle has at least two sides of equal length.

Front

What does it mean if a triangle is classified as 'equilateral'?

Back

An equilateral triangle has all three sides of equal length.