Given :
A crafter is making a triangular flag.
She has two sides of length 24 inches and 36 inches.
To Find :
The length possibilities (in whole inches) for the third side.
Solution :
We know, the sum of two sides of any triangle is always greater than the length of the third side.
Let, third side is d.
So, d is always less than the sum of other sides i.e. ( 24 + 36 ) = 60 .
d < 60
Also, difference between the difference of length is always less than the side.
So, d > 36 - 24
d > 12
Therefore, the length possibilities for the third side is between 13 inches and 59 inches.