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


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

$I f t h e c o r r d i n a t e r o f t h e v e r t i c l e o f a n$ $e q v i l a t e r a l t r i a n g l e w i t h l e n g t h x a r e$ $(x_{1 +} y_{1}), (y_{1} + y_{2}) a n d (x_{3}, y_{3}) t h e n$ ${(\| \begin{matrix} x_{1} y_{1} 2 \\ x_{2} y_{2} 2 \\ x_{3} y_{3} 2 \end{matrix} \|)}^{2} = 3 a^{4} ?$
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