Triangle Practice

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

If two sides of a triangle are 7 cm and 10 cm, what inequality represents the possible lengths of the third side?

Back

3 < x < 17

Front

Given two sides of a triangle measuring 6 cm and 14 cm, which of the following could be the length of the third side? 8, 9, 20, 21?

Back

9

Front

How many triangles can be formed with angle measures of 80°, 50°, and 50°?

Back

More than one unique triangle exists with the given angle measures.

Front

Can a triangle exist with side lengths of 33, 16, and 17?

Back

No

Front

Which set of side lengths can form a triangle? 6, 8, 13; 7, 9, 18; 7, 7, 14; 2, 6, 9?

Back

6, 8, 13

Front

What is the maximum length of the third side if two sides of a triangle are 5 cm and 12 cm?

Back

The maximum length is less than 17 cm.

Front

What is the minimum length of the third side if two sides of a triangle are 5 cm and 12 cm?

Back

The minimum length is greater than 7 cm.

Front

What is an obtuse triangle?

Back

An obtuse triangle is a triangle that has one angle measuring more than 90 degrees.

Front

What is an acute triangle?

Back

An acute triangle is a triangle where all three angles are less than 90 degrees.