Triangle Inequality Theorem Flashcard

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 2 inches, 2 inches, and 4 inches, do they form a triangle?

Back

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

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

Can a triangle exist with side lengths of 0, 11, and 12?

Back

No, because a side length cannot be zero.

Front

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

Back

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

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, 3 + 5 > 4, and 4 + 5 > 3.

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 7, 10, and 5, does it satisfy the Triangle Inequality Theorem?

Back

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

Front

What happens if one side of a triangle is equal to the sum of the other two sides?

Back

It does not form a triangle; it forms a straight line.

Front

Can the lengths 6, 8, and 15 form a triangle?

Back

No, because 6 + 8 is not greater than 15.