75 can be written as the sum of the squares of 3 different positive integers. What is sum of these integers?

a. 17
b. 16
c. 15
d. 14
e. 13

OA: E

I ended up getting this answer correct, but I had to use guess and check. I am assuming there is an easier way to figure this out using number properties! PLEASE HELP ME !!!

Thanks as usual!