For the above plot of the cone (xa)2+(yb)2=(zc)2\displaystyle {\left(\frac{{x}}{{a}}\right)}^{{2}}+{\left(\frac{{y}}{{b}}\right)}^{{2}}={\left(\frac{{z}}{{c}}\right)}^{{2}}, find the parameters a, b and c. Note that a, b and c are positive integers between 1 and 6 inclusive. Use the mouse to rotate the surface.
Two points on the cone are ( 3, 0, 2 ) and ( 0, 2.5, 2 )

a=\displaystyle {a}= b=\displaystyle {b}= c=\displaystyle {c}=