Triangle Inequality Theorem

Front

The Triangle Inequality Theorem states the sum of the lengths of any two sides of a triangle is ________________ the length of the third side.

Back

greater than

Front

The Triangle Inequality Theorem deals with _______ of a triangle.

Back

sides

Front

Select the measurements that can form a triangle: 7, 9, 19; 7, 12, 1; 7, 7, 7; 7, 7, 16.

Back

7, 7, 7

Front

Two of the smaller sides of a triangle are 8 feet and 11 feet. Which of the following could be the smallest possible length of the third side? 18 feet, 19 feet, 20 feet.

Back

20 feet

Front

Does a triangle with these side lengths exist? 8.5, 6.5, 13.5.

Back

Yes

Front

What is the Triangle Inequality Theorem?

Back

It 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 one side of a triangle is 10 cm and another side is 5 cm, what is the range of possible lengths for the third side?

Back

The third side must be greater than 5 cm and less than 15 cm.

Front

Can the sides 3, 4, and 8 form a triangle?

Back

No, because 3 + 4 is not greater than 8.

Front

What is the minimum length of the third side if the other two sides are 7 and 10?

Back

The minimum length is 4 (10 - 7 < x < 10 + 7).

Front

If a triangle has sides of lengths 5, 12, and 13, does it satisfy the Triangle Inequality Theorem?

Back

Yes, because 5 + 12 > 13, 5 + 13 > 12, and 12 + 13 > 5.