Triangle Sum Theorem & Triangle Inequality Theorem

Front

What is the Triangle Sum Theorem?

Back

The Triangle Sum Theorem states that the sum of the interior angles of a triangle is always 180 degrees.

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

Can a triangle have three acute angles?

Back

Yes, a triangle can have three acute angles.

Front

Can a triangle have two obtuse angles?

Back

No, a triangle cannot have two obtuse angles because the sum of the angles would exceed 180 degrees.

Front

If two sides of a triangle are 7 ft and 13 ft, what is the range for the third side?

Back

The third side must be more than 6 ft but less than 20 ft.

Front

What is the maximum angle in a triangle?

Back

The maximum angle in a triangle is less than 180 degrees.

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 the relationship between the sides of a triangle and its angles?

Back

In a triangle, the largest side is opposite the largest angle, and the smallest side is opposite the smallest angle.

Front

If a triangle has angles measuring 30 degrees and 110 degrees, what is the measure of the third angle?

Back

The third angle measures 40 degrees.

Front

What is an obtuse triangle?

Back

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