Topic #9 - Triangle Inequalities

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

If two sides of a triangle are 5 and 7, what is the range of possible lengths for the third side?

Back

The range for the third side is: 2 < x < 12.

Front

What is the largest angle in a triangle?

Back

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

Front

Can a triangle be formed with side lengths 3, 4, and 8?

Back

No, because 3 + 4 is not greater than 8.

Front

What is the sum of the angles in any triangle?

Back

The sum of the angles in any triangle is always 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

How do you determine the longest side of a triangle?

Back

The longest side is the one opposite the largest angle.

Front

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

Back

In a triangle, larger angles are opposite longer sides.

Front

If two angles of a triangle are 30 degrees and 60 degrees, what is the third angle?

Back

The third angle is 90 degrees.

Front

What is an isosceles triangle?

Back

An isosceles triangle has at least two sides that are equal in length.