Question 253721
the Law of Sines is the easiest solution


the sides of a triangle are in the same ratios as the sines of their opposite angles


a:b :: sin(A):sin(B) ___ a / b = sin(A) / sin(B) ___ [a sin(B)] / sin(A) = b ___ [5 (√3 / 2)] / (√2 / 2) = b


5√6 / 2 = b



similarly for c ___ c = [5 sin(75)] / sin(45)