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 8 and 15, what is the range of possible lengths for the third side?

Back

The range of possible lengths for the third side is between 7 and 23.

Front

Which of the following sets of lengths cannot form a triangle: 32, 34, 60 or 28, 30, 58?

Back

The lengths 28, 30, 58 cannot form a triangle.

Front

Given two sides of lengths 7 mm and 4 mm, what is the range for the length of the third side?

Back

The range for the length of the third side is 3 < x < 11.

Front

If the longest side of a triangle is 10, what must be true about the sum of the other two sides?

Back

The sum of the other two sides must be greater than 10.

Front

What is the minimum length of the third side if the other two sides are 5 and 7?

Back

The minimum length of the third side is 3.

Front

What is the maximum length of the third side if the other two sides are 5 and 7?

Back

The maximum length of the third side is 11.

Front

Can a triangle have sides of lengths 2 cm, 5 cm, and 8 cm?

Back

No, these lengths cannot form a triangle.

Front

What is the relationship between the sides of a triangle?

Back

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

Front

If one side of a triangle is 12 and the other is 9, what is the range for the third side?

Back

The range for the third side is between 3 and 21.