Unit 5 Test

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

What is the range of possible measures for the third side of a triangle with sides measuring 12 and 7?

Back

5 < x < 19

Front

True or False: A triangle can have side lengths of 8, 9, and 15.

Back

True

Front

What is the formula to find the length of a side in a triangle given the other two sides?

Back

The length of the third side must satisfy the Triangle Inequality Theorem.

Front

If two sides of a triangle are 14 km and 8 km, what is the range of distances for the third side?

Back

6 < x < 22

Front

What is the maximum length of the third side of a triangle with sides measuring 12 and 7?

Back

The maximum length is 18 (12 + 7 - 1).

Front

What is the minimum length of the third side of a triangle with sides measuring 12 and 7?

Back

The minimum length is 5 (12 - 7 + 1).

Front

Find the length of AB if the options are 6, 11, 17, 68 and the correct answer is 17.

Back

AB = 17

Front

What does it mean for a triangle to be valid?

Back

A triangle is valid if the lengths of its sides satisfy the Triangle Inequality Theorem.

Front

If a triangle has sides of lengths 8, 9, and 15, what can you conclude about its validity?

Back

The triangle is valid because 8 + 9 > 15, 8 + 15 > 9, and 9 + 15 > 8.