Triangle Inequalities & Algebra

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

Where is the smallest angle located in a triangle?

Back

The smallest angle is located across from the smallest side.

Front

Can a triangle have sides with lengths 8 m, 10 m, and 19 m?

Back

No, because 8 + 10 is not greater than 19.

Front

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

Back

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

Front

Can a triangle have sides with lengths 4 m, 5 m, and 9 m?

Back

No, because 4 + 5 is not greater than 9.

Front

What is the largest angle in a triangle with angles ∠D, ∠E, and ∠F?

Back

∠E is the largest angle.

Front

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

Back

It is a right triangle.

Front

What is an obtuse triangle?

Back

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

Front

What is an acute triangle?

Back

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

Front

What is the sum of the angles in any triangle?

Back

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