Range of 3rd Side of a Triangle (and Review)

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 the third side of a triangle if two sides are 10 and 10?

Back

0 < X < 20

Front

Can the sides 7, 13, and 6 form a valid triangle?

Back

No, because 7 + 6 is not greater than 13.

Front

What is the range of values for the third side of a triangle with sides 8 and 15?

Back

7 < X < 23

Front

If two sides of a triangle are 10 m and 13 m, what is the range for the third side?

Back

3 < X < 23

Front

What is the minimum length of the third side of a triangle with sides 5 and 12?

Back

The minimum length is 8 (5 + 12 > X).

Front

What is the maximum length of the third side of a triangle with sides 5 and 12?

Back

The maximum length is 16 (X < 5 + 12).

Front

If one side of a triangle is 9 and the other is 4, what is the range for the third side?

Back

5 < X < 13

Front

What happens if the third side of a triangle is equal to the sum of the other two sides?

Back

The triangle becomes degenerate, meaning it does not enclose any area.

Front

What is the range of the third side if two sides are 6 and 8?

Back

2 < X < 14