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

If the side lengths of a triangle are 5 cm, 7 cm, and 10 cm, do they satisfy the Triangle Inequality Theorem?

Back

Yes, because 5 + 7 > 10, 5 + 10 > 7, and 7 + 10 > 5.

Front

Which of the following sets of numbers can represent the side lengths of a triangle? {3, 4, 5}, {1, 2, 3}, {5, 10, 15}

Back

{3, 4, 5} can represent the side lengths of a triangle.

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

Can the side lengths 3, 5, and 8 form a triangle?

Back

No, because 3 + 5 is not greater than 8.

Front

Which of the following does not represent the lengths of the sides of a triangle? 2 cm, 6 cm, 7 cm, 5 cm, 2 cm, 5 cm, 5 cm, 5 cm, 8 cm, 3 cm, 10 cm, 15 cm

Back

3 cm, 10 cm, 15 cm do not represent the lengths of the sides of a triangle.

Front

What is the minimum requirement for three lengths to form a triangle?

Back

The sum of the lengths of any two sides must be greater than the length of the third side.

Front

If a triangle has sides of lengths 6 cm, 8 cm, and 10 cm, do they satisfy the Triangle Inequality Theorem?

Back

Yes, because 6 + 8 > 10, 6 + 10 > 8, and 8 + 10 > 6.

Front

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

Back

An example is {7, 10, 12}.

Front

What is an example of a set of lengths that cannot form a triangle?

Back

An example is {1, 2, 3}.