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 two sides of a triangle are 5 cm and 7 cm, what is the range of possible lengths for the third side?

Back

The length of the third side must be greater than 2 cm and less than 12 cm.

Front

Which of the following sets of lengths can form a triangle? 3, 4, 8

Back

No, because 3 + 4 is not greater than 8.

Front

What is the minimum length of the third side if the other two sides are 6 cm and 10 cm?

Back

The minimum length of the third side must be greater than 4 cm.

Front

If the longest side of a triangle is 15, what must be true about the other two sides?

Back

The sum of the lengths of the other two sides must be greater than 15.

Front

Can a triangle have sides of lengths 2, 2, and 5?

Back

No, because 2 + 2 is not greater than 5.

Front

What is the maximum length of the third side if the other two sides are 8 cm and 6 cm?

Back

The maximum length of the third side must be less than 14 cm.

Front

If one side of a triangle is 10 cm and the other is 3 cm, what is the range for the third side?

Back

The third side must be greater than 7 cm and less than 13 cm.

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

If the sides of a triangle are 9 cm, 12 cm, and x cm, what is the range for x?

Back

x must be greater than 3 cm and less than 21 cm.