Inequalities in One Triangle

Front

What is the total degree measure of the interior angles of a triangle?

Back

180 degrees.

Front

List the angles of a triangle from smallest to largest if the angles are 40°, 60°, and 80°.

Back

40°, 60°, 80°.

Front

If angle A is 30° and angle B is 70°, what is angle C in triangle ABC?

Back

Angle C is 80° (180° - 30° - 70°).

Front

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

Back

The longest side is opposite the largest angle, and the shortest side is opposite the smallest angle.

Front

How do you determine the order of sides in a triangle based on the angles?

Back

Order the sides from greatest to least based on the corresponding angles.

Front

If angle A is 45° and angle B is 45°, what is angle C in triangle ABC?

Back

Angle C is 90° (180° - 45° - 45°).

Front

What is the inequality that must hold true for the sides of a triangle?

Back

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

Front

If angle A is 50° and angle B is 60°, what is angle C in triangle ABC?

Back

Angle C is 70° (180° - 50° - 60°).

Front

What is the measure of the largest angle in a triangle with sides 5, 12, and 13?

Back

The largest angle is opposite the longest side, which is 13. It measures 90°.

Front

How do you find the smallest angle in a triangle with angles 30°, 60°, and 90°?

Back

The smallest angle is 30°.