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

If two sides of a triangle are 8 in and 11 in, what is the range for the length of the third side if it is the longest side?

Back

The range for the length of the third side is 12 in to 18 in.

Front

Which of the following sets of lengths cannot form a triangle: 2 cm, 6 cm, 7 cm, or 5 cm, 2 cm, 5 cm?

Back

The lengths 3 cm, 10 cm, and 15 cm cannot form a triangle.

Front

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

Back

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

Front

If two sides of a triangle are 21 cm and 15 cm, what is the range for the length of the third side?

Back

The range for the length of the third side is 7 cm to 14 cm.

Front

What pair of side lengths can create a triangle with the longest side measuring 32 cm?

Back

The pair of side lengths that can create the triangle is 18 cm and 16 cm.

Front

What is the minimum length of the third side if the other two sides are 8 in and 11 in?

Back

The minimum length of the third side must be greater than 3 in.

Front

What is the maximum length of the third side if the other two sides are 8 in and 11 in?

Back

The maximum length of the third side can be less than 19 in.

Front

If one side of a triangle is 10 cm and the other is 15 cm, what is the range for the third side?

Back

The range for the third side is 6 cm to 25 cm.

Front

Can a triangle have sides measuring 5 cm, 10 cm, and 15 cm?

Back

No, these lengths cannot form a triangle because 5 + 10 is not greater than 15.