In a triangle xyz if angle y=60°and side xy=8cm. If the area of the triangle is 12square root 3cm square. find side yz

Answer 1

Using
area = (1/2)(a)(b)sin C
where C is the contained angle between sides a and b
we have
12√3 =(1/2)(8)(x)sin60°, where x is the missing side
12√3 = 4x(√3/2)
12√3 = 2x√3
12 = 2x
x = 6