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 7 ft and 13 ft, what is the range of possible lengths for the third side?

Back

The length of the third side must be more than 6 ft and less than 20 ft.

Front

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

Back

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

Front

Will the sides 5 cm, 5 cm, and 8 cm form a triangle?

Back

Yes, these sides will form a triangle.

Front

Which of the following does not represent the lengths of the sides of a triangle: 2 cm, 6 cm, 7 cm or 3 cm, 10 cm, 15 cm?

Back

3 cm, 10 cm, 15 cm does not represent the lengths of the sides of a triangle.

Front

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

Back

The minimum length of the third side must be more than 2 cm.

Front

If the sides of a triangle are 10 cm, 15 cm, and 25 cm, will they form a triangle?

Back

No, they will not form a triangle.

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 3 cm and another is 4 cm, what is the range for the third side?

Back

The third side must be more than 1 cm and less than 7 cm.

Front

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

Back

5 cm, 6 cm, and 10 cm can form a triangle.