Side Angle Relationships

Front

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

Back

In a triangle, the longer the side, the larger the angle opposite that side. This is known as the Side-Angle Relationship.

Front

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

Back

To order the sides from least to greatest, identify the angles from least to greatest and then match each angle to its opposite side.

Front

What is the largest angle in a triangle?

Back

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

Front

If two sides of a triangle are equal, what can be said about the angles opposite those sides?

Back

The angles opposite the equal sides are also equal. This is known as the Isosceles Triangle Theorem.

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

How do you determine the longest side in a triangle given the angles?

Back

The longest side is opposite the largest angle.

Front

What is the relationship between the angles in a triangle?

Back

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

Front

If angle A is 30 degrees and angle B is 60 degrees, what is angle C?

Back

Angle C is 90 degrees, since 30 + 60 + C = 180.

Front

What is an exterior angle of a triangle?

Back

An exterior angle is equal to the sum of the two opposite interior angles.

Front

How can you find the measure of an angle if you know the lengths of all three sides?

Back

You can use the Law of Cosines to find the measure of an angle when the lengths of all three sides are known.