Triangle Inequality Theorem

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 the lengths 8, 10, and 20 form a triangle?

Back

No, because 8 + 10 is not greater than 20.

Front

What does the Inequality Theorem state?

Back

The sum of any two sides of a triangle must be greater than the third side.

Front

Which of the following side measures can form a triangle: 4, 6, 10 or 4, 6, 9?

Back

4, 6, 9 can form a triangle because 4 + 6 > 9.

Front

What part of a triangle does the Inequality Theorem use?

Back

The side lengths.

Front

If a triangle has sides of lengths 5, 7, and 12, can it exist?

Back

No, because 5 + 7 is not greater than 12.

Front

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

Back

3, 4, and 5 can form a triangle because 3 + 4 > 5.

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 the sides of a triangle are 10, 15, and 25, what can you conclude?

Back

These sides cannot form a triangle because 10 + 15 is not greater than 25.

Front

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

Back

For any triangle with sides a, b, and c, the following must hold: a + b > c, a + c > b, and b + c > a.