The lengths of two sides of a triangle are 7 cm and 17 cm. Identify the range of possible lengths for the third side.

Question

ANSWER CHOICES:

9 cm < x < 23 cm

7 cm < x < 17 cm

10 cm < x < 24 cm

11 cm < x < 25 cm

A B C D

Answer 1

THe 3rd size is X

X+7>17 --> X>10 ---> 10 < x

X+17 > 7 --> X>-10 which tell us nothing

7+17>x --> 24>x --> x < 24

chains the inequalities:

10 < x <24

which is option C