Question

You are asked to draw a triangle with side lengths of 6 inches and 8 inches. What is the longest whole number length that your third side can be?

Answer 1

The angle between the 6 inches and 8 inches length sides must be less than 180 degrees.
When the angle between the 6 inches and 8 inches length sides 180 degrees, the length of the third side will be 14 inches.
Therefore, the longest whole number length of the third side is 13 inches.

Answer 2

Fo sides, a,b,c
where c is the longest

c<a+b
or else you won't have a triangle

we want the longest side
this mystery side is c
other ones are a and b

c<6+8
c<14
the next largest whole number is 13

answer is 13 inches