There is a total distance of 30 miles from the library to the mall.
There is a total distance of 16 miles from the mall to the school.
These two distances will represent sides of a triangle. We'll use the Pythagorean theorem to find the distance from the library to the school:



Square root both sides to find the missing distance:


The total distance from the library to the school is 34.
Henry went from the library to the school for a total distance of 34 miles traveled.
Mike traveled from the school to the mall, then the mall to the library. He traveled 16 miles, then traveled 30 miles, for a total distance of 46 miles traveled.
Subtract the smaller amount from the bigger amount:

Mike traveled
12 more miles than Henry.