Triangle Inequality Theorem

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

Do the side lengths 2 inches, 2 inches, and 4 inches form a triangle?

Back

No, because 2 + 2 is not greater than 4.

Front

What is the sum of the interior angles of a triangle?

Back

180 degrees.

Front

Which of the following lengths cannot represent the sides of a triangle: 32, 34, 60, 28, 30, 58, 13, 20, 27, 2, 4, 5?

Back

28, 30, and 58 cannot represent the sides of a triangle.

Front

If one side of a triangle is 7 cm and another side is 10 cm, what is the range of possible lengths for the third side?

Back

The third side must be greater than 3 cm and less than 17 cm.

Front

What is an example of a set of lengths that can form a triangle?

Back

3 cm, 4 cm, and 5 cm.

Front

What is the relationship between the sides of a triangle and the Triangle Inequality Theorem?

Back

The lengths of any two sides of a triangle must always be greater than the length of the third side.

Front

Can a triangle have sides measuring 5 cm, 5 cm, and 10 cm?

Back

No, because 5 + 5 is not greater than 10.

Front

What happens if the sum of two sides of a triangle equals the length of the third side?

Back

The three points are collinear, and they do not form a triangle.

Front

What is the minimum length of a side in a triangle if the other two sides are 8 cm and 10 cm?

Back

The minimum length must be greater than 2 cm.