Form a Triangle with 3-given measure

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 2 and 6, what is the maximum length of the third side?

Back

The maximum length of the third side is less than 8 (2 + 6).

Front

If two sides of a triangle are 2 and 6, what is the minimum length of the third side?

Back

The minimum length of the third side is greater than 4 (6 - 2).

Front

Can a triangle be formed with side lengths 4, 11, and 13?

Back

Yes, because 4 + 11 > 13, 4 + 13 > 11, and 11 + 13 > 4.

Front

What is the range of possible lengths for the third side if two sides are 9 and 16?

Back

The range is 7 < x < 25.

Front

What is the range of possible lengths for the third side if two sides are 12 and 7?

Back

The range is 5 < x < 19.

Front

Which of the following would NOT work to make a triangle with sides 2 and 6? 4, 5, 6, or 7?

Back

4 would NOT work.

Front

Can a triangle be formed with side lengths 10, 12, and 22?

Back

No, because 10 + 12 is not greater than 22.

Front

What is the minimum length of the third side if two sides are 12 and 7?

Back

The minimum length is greater than 5 (12 - 7).

Front

What is the maximum length of the third side if two sides are 12 and 7?

Back

The maximum length is less than 19 (12 + 7).