Q. If two sides of a triangle are 7 cm and 10 cm, what is the range of possible lengths for the third side?
A.
3 cm to 17 cm
B.
4 cm to 16 cm
C.
5 cm to 15 cm
D.
6 cm to 13 cm
Solution
By the triangle inequality theorem, the length of the third side must be greater than the difference of the other two sides and less than their sum: |7 - 10| < x < 7 + 10, which gives 3 < x < 17.