If-the-corrdinater-of-the-verticle-of-an-eqvilateral-triangle-with-length-x-are-x-1-y-1-y-1-y-2-and-x-3-y-3-then-determinant-x-1-y-1-2-x-2-y-2-2-x-3-y-3-2-

Question Number 32163 by jarjum last updated on 20/Mar/18

I f t h e c o r r d i n a t e r o f t h e v e r t i c l e o f a n

e q v i l a t e r a l t r i a n g l e w i t h l e n g t h x a r e

(x_{1 +} y_{1}), (y_{1} + y_{2}) a n d (x_{3}, y_{3}) t h e n

{(| \begin{matrix} x_{1} y_{1} 2 \\ x_{2} y_{2} 2 \\ x_{3} y_{3} 2 \end{matrix} |)}^{2} = 3 a^{4} ?