In a rhombus, all the side lengths are $10,$ and one of the angles is equal to $120^\circ.$ Find the area of the rhombus.
The area of the rhombus is 1/2*10*10*sin(120) = 25*sqrt(2).
Area ==a^2 * sin(θ)
Area ==10^2 * sin(120)
Area ==100 x sqrt(3) / 2
Area ==50 sqrt(3)