Triangle Theorem Practice

Front

What is the Triangle Sum Theorem?

Back

The Triangle Sum Theorem states that the sum of all angles in a triangle is 180°.

Front

What does the Triangle Inequality Theorem state?

Back

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

Front

If one angle of a triangle is 90°, what can you say about the other two angles?

Back

The other two angles must add up to 90° because the sum of all angles in a triangle is 180°.

Front

What is the largest angle in a triangle?

Back

The largest angle in a triangle is opposite the longest side.

Front

If the angles of a triangle are 60°, 70°, and x°, what is the value of x?

Back

x = 50° (because 60° + 70° + x = 180°).

Front

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

Back

Each angle in an equilateral triangle measures 60°.

Front

In a triangle, if one angle measures 45°, what is the maximum possible measure of the other two angles?

Back

The maximum possible measure of the other two angles is 135° (because 180° - 45° = 135°).

Front

What type of triangle has one angle greater than 90°?

Back

An obtuse triangle has one angle greater than 90°.

Front

What is a right triangle?

Back

A right triangle is a triangle that has one angle measuring exactly 90°.

Front

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

Back

The third angle measures 90° (because 30° + 60° + x = 180°).