Inequalities in triangles

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 can you determine the largest angle in a triangle?

Back

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

Front

What does the Exterior Angle Theorem state?

Back

The Exterior Angle Theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.

Front

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

Back

It is a right triangle.

Front

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

Back

In a triangle, larger angles are opposite longer sides, and smaller angles are opposite shorter sides.

Front

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

Back

To order the sides of a triangle from greatest to least, compare the lengths of the sides directly.

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

Can a triangle have two equal angles?

Back

Yes, a triangle can have two equal angles; such a triangle is called an isosceles triangle.

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 an obtuse triangle?

Back

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