Nathan wants to draw a triangle. He knows that two side lengths are 5 inches and 7 inches. Select all of the measurements that can possibly make the third side.

Question

ANSWERS:

2 inches

3 inches

4 inches

11 inches

12 inches

13 inches

Answer 1

3, 4 and 11

the 3rd side of a triangle, call it x, cannot be as large as the sum of the other two sides and cannot be less than difference of the other two sides

7-5 < x < 7+5

2 < x < 12

x is anywhere between 2 and 12 inches