Triangle Sum Theorem and Triangle Inequality Theorem with Angles

Front

What is the Triangle Sum Theorem?

Back

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

Front

What is the Triangle Inequality Theorem?

Back

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

Front

If a triangle has angles measuring 60°, 60°, and 60°, what type of triangle is it?

Back

It is an equilateral triangle.

Front

What is the measure of each angle in an equilateral triangle?

Back

Each angle measures 60°.

Front

What is the relationship between the longest side of a triangle and its angles?

Back

The longest side is opposite the largest angle.

Front

If one angle of a triangle measures 90°, what type of triangle is it?

Back

It is a right triangle.

Front

What is the measure of the missing angle if two angles in a triangle measure 70° and 40°?

Back

The missing angle measures 70°.

Front

In a triangle, if one angle measures 50°, what is the maximum possible measure of the other two angles?

Back

The maximum possible measure of the other two angles is 130°.

Front

What is the property of an isosceles triangle?

Back

An isosceles triangle has at least two sides that are equal in length.

Front

If a triangle has angles measuring 30° and 60°, what is the measure of the third angle?

Back

The third angle measures 90°.