Question

You are asked to draw a triangle with side lengths of 10 inches and 13 inches. What is the longest whole number length that your third side can be?

Answer 1

22

Explanation:

triangle inequality theorem:

10 + 13 > x

x < 23

10 + x > 13

x > 3

third side: 3 < x < 23

Answer 2

22

Explanation:

10 plus 13 equals 23, so if it is more than that than the lines wont be able to connect. if it is 23 exactly, the triangle will be a stright line, not a triangle, so it is 22.