What is the length of the missing leg? If necessary, round to the nearest tenth

Answer: 48 yd
Step-by-step explanation:
when trying to find one leg of a triangle given the other two, a^2 +b^2 = c^2 is applicable. A representing the first leg, B representing the second, and C representing the hypotenouse (a and b are interchangeable). So,
formula: a^2 + b^2 = c^2
insert given: 20^2 + b^2 = 52^2
exponents: 400 + b^2 = 2704
subtract: b^2 = 2704 - 400
simplify: b^2 = 2304
square root of both sides: b = [tex]\sqrt{2304}[/tex]
answer: b = 48