Q. If the lengths of two sides of a triangle are 5 cm and 12 cm, what is the range of possible lengths for the third side?
A.
1 cm to 17 cm
B.
6 cm to 16 cm
C.
7 cm to 12 cm
D.
5 cm to 12 cm
Solution
The length of the third side must be greater than the difference of the other two sides and less than their sum: |5 - 12| < third side < 5 + 12, which gives 7 cm < third side < 17 cm.
Q. If the lengths of two sides of a triangle are 5 cm and 7 cm, what is the range of possible lengths for the third side?
A.
2 cm to 12 cm
B.
3 cm to 11 cm
C.
4 cm to 10 cm
D.
5 cm to 9 cm
Solution
The length of the third side must be greater than the difference of the other two sides and less than their sum: |5 - 7| < third side < 5 + 7, which gives 2 < third side < 12.
Q. If the lengths of two sides of a triangle are 6 cm and 8 cm, what is the range of possible lengths for the third side?
A.
2 cm to 14 cm
B.
2 cm to 10 cm
C.
2 cm to 12 cm
D.
2 cm to 8 cm
Solution
The length of the third side must be greater than the difference of the other two sides and less than their sum: |6 - 8| < third side < 6 + 8, which gives 2 cm < third side < 14 cm.
