cos 120 =[(a-4)? +(a-8)? -a? ]/(2(a-4)(a-8))=(a? -24a+80)/(2(a? - 12a+32))=- 1/2
And then a? -24a+80=-(a? - 12a+32)
2a? -36a+ 1 12=0
Answer? - 18a+56=0
(a-4)(a- 14)=0
A=4 or a= 14.
Pay attention to a-8 > 0
So a= 14
△ area = (1/2) (a-4) (a-8) sin120 = (1/2) ×10× 6× radical (3)/2 =/kloc-0.