Topic #9 - Triangle Inequalities

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

Can a triangle be formed with side lengths 10, 12, and 22?

Back

No, because 10 + 12 is not greater than 22.

Front

List the angles of a triangle in order from smallest to largest if the angles are 30°, 60°, and 90°.

Back

30°, 60°, 90°.

Front

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

Back

In a triangle, the larger the angle, the longer the opposite side.

Front

Can a triangle be formed with side lengths 17, 9, and 30?

Back

No, because 17 + 9 is not greater than 30.

Front

If two sides of a triangle are 5 and 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 is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180°.

Front

If one angle of a triangle is 45° and another is 75°, what is the third angle?

Back

The third angle is 60°.

Front

What is the definition of an obtuse triangle?

Back

An obtuse triangle is a triangle that has one angle greater than 90°.

Front

What is the definition of an acute triangle?

Back

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