Triangle on the left: 30 60 90 right triangle so ratio of short leg: long leg: hypo = x : x√3 : 2x given hypo = 4√3 so short leg = 4√3 / 2 = 2√3 long leg = 2√3 * √3 = 6
a = 6 and c = 2√3
triangle on the right is 45 45 90 right triangle so ratio of leg: leg: hypo = x : x : x√2