Triangle Inequality Theorem

Front

The Triangle Sum Theorem states that the sum of all angles in a triangle is ______.

Back

180°

Front

Sally is trying to draw a triangle. Her first two sides measure 7 in and 11 in. What length could she use for the third side of her triangle?

Back

8 in

Front

Identify the smallest angle in a triangle with angles ∠K, ∠L, ∠M.

Back

∠L

Front

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

Back

∠A, ∠C, ∠B

Front

Can the following side measures form a triangle? 3, 5, 8

Back

No

Front

What is the Triangle Inequality Theorem?

Back

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Front

If one side of a triangle is 10 cm and another side is 6 cm, what is the range of possible lengths for the third side?

Back

The third side must be greater than 4 cm and less than 16 cm.

Front

In a triangle with sides measuring 5 cm, 7 cm, and 12 cm, do the side lengths 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 larger the angle, the longer the opposite side.

Front

If a triangle has angles measuring 30°, 60°, and 90°, what can you say about its sides?

Back

It is a right triangle, and the sides are in the ratio 1:√3:2.