In triangle ABCABCABC, AB=xAB = xAB=x, AC=yAC = yAC=y and angle A=60∘A = 60^\circA=60∘. It is given the area of ABC=23(x+y) cm2ABC = 2\sqrt{3}(x+y)\text{ cm}^2ABC=23(x+y) cm2.
a.[3]
Show that 8x+8y=xy8x + 8y = xy8x+8y=xy
b.[4]
When the vertices of the triangle are placed on the circumference of a circle, AC AC\,AC is a diameter of the circle. Determine the value of x x\,x and the value of yyy.