solve the magnitude of two force such that if any act at right angle resultant is 5kn while the act at angle60 their resultant is square 37

Answer 1

Let the two forces be

ax and by

a^2+b^2 = 25
a^2 + b^2 - 2abcos120° = 37
or
a^2+b^2+ab = 37

ab=12

So, it looks like the two forces are 3kN and 4kN