Mrs. Kim's 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 4 cm and 12 cm, what is the range of possible lengths for the third side?

Back

The range of possible lengths for the third side is between 8 cm and 16 cm.

Front

Will the line segments of lengths 2 cm, 6 cm, and 7 cm form a triangle?

Back

Yes, these line segments will 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 mm < x < 11 mm.

Front

Which set of lengths does not represent 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 sides of a triangle.

Front

What is the minimum length of the third side if the other two sides are 5 cm and 8 cm?

Back

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

Front

What is the maximum length of the third side if the other two sides are 5 cm and 8 cm?

Back

The maximum length of the third side can be less than 13 cm.

Front

If the sides of a triangle are 7, 7, and 7, what type of triangle is it?

Back

It is an equilateral 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

Can a triangle have sides of lengths 1 cm, 2 cm, and 3 cm?

Back

No, these lengths cannot form a triangle because 1 cm + 2 cm is not greater than 3 cm.