Triangle Inequality

Front

What is the Triangle Inequality Theorem?

Back

The Triangle Inequality Theorem states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

Front

If two sides of a triangle are 10 and 7, what is the range of possible lengths for the third side?

Back

Front

How do you determine if three lengths can form a triangle?

Back

To determine if three lengths can form a triangle, check if the sum of the lengths of any two sides is greater than the length of the third side.

Front

List the side lengths in order from shortest to longest: 10, 7, 5.

Back

5, 7, 10.

Front

In triangle ABC, if AB = 10 inches and BC = 17 inches, what could be the length of side AC?

Back

The possible length for side AC is 16 inches.

Front

Can a triangle be formed with side lengths 17, 9, and 30?

Back

No, a triangle cannot be formed with these side lengths.

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

If the sides of a triangle are 8, 15, and x, what is the range for x?

Back

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.