Triangle Inequality Theorem (Ordering and Forming Triangles)

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

Given two sides of a triangle measuring 7 ft and 13 ft, what is the range for the third side?

Back

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

Front

Given two sides of a triangle measuring 7 mm and 4 mm, what is the range for the third side?

Back

The length of the third side must be more than 3 mm but less than 11 mm.

Front

Will the sides measuring 5 cm, 7 cm, and 11 cm form a triangle?

Back

Yes, these sides will form a triangle.

Front

Will the sides measuring 2 cm, 3 cm, and 6 cm form a triangle?

Back

No, these sides will not form a triangle.

Front

Identify the longest side in a triangle with sides measuring 8 cm, 10 cm, and 12 cm.

Back

The longest side is 12 cm.

Front

What is the minimum length of the third side if two sides of a triangle measure 9 cm and 5 cm?

Back

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

Front

What is the maximum length of the third side if two sides of a triangle measure 9 cm and 5 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 15 cm, what is the range for the third side?

Back

The third side must be more than 5 cm but less than 25 cm.

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.