Ordering Sides and Angles in Triangles

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

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 order the sides of a triangle based on the angles?

Back

To order the sides of a triangle based on the angles, arrange the sides from shortest to longest corresponding to the angles from smallest to largest.

Front

What is an acute triangle?

Back

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

Front

What is a right triangle?

Back

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

Front

What is an obtuse triangle?

Back

An obtuse triangle is a triangle where one angle is greater than 90 degrees.

Front

How can you determine the longest side of a triangle?

Back

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

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 degrees.

Front

If two angles of a triangle are known, how can you find the third angle?

Back

To find the third angle, subtract the sum of the known angles from 180 degrees.

Front

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

Back

The sides can be ordered based on the angles: the smallest angle corresponds to the shortest side, and the largest angle corresponds to the longest side.