Question 869627
Look for Pythagorean triples to help you.
They are leg-leg-hypotenuse combinations that meet the Pythagorean theorem.
3-4-5
5-12-13
8-15-17
7-24-25
20-21-29
12-35-37
9-40-41
So now look in the first two values of the triples for values that are factors of 48 and calculate the multiplier.
3-4-5 : 3*16 
3-4-5 : 4*12
5-12-13 : 12*4
8-15-17 : 8*6
7-24-25 : 24*2
12-35-37 : 12*4
Then use that multiplier on all members of the triple.
3-4-5(16) -> 48-64-80 
3-4-5(12) -> 36-48-60
5-12-13(4) -> 20-48-52
8-15-17(6) -> 48-80-102
 7-24-25(2)->14-48-50
12-35-37(4)->48-140-148