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Question Number 103179 by ajfour last updated on 13/Jul/20

Commented by ajfour last updated on 13/Jul/20

$I f D a n d E a r e m i d p o i n t s o f$ $s i d e s A C a n d A B r e s p e c t i v e l y,$ $o f △ A B C, f i n d$ $\frac{b l u e a r e a}{a r e a △ A B C} i n t e r m s o f$ $s i d e s a, b, c o f t h e △ .$
	Answered by ajfour last updated on 13/Jul/20

	$L e t B i s o r i g i n . C (0, a)$ $A (h, k) h = c \sin B, k = b \sin C$ $D (\frac{a + h}{2}, \frac{k}{2}); E (\frac{h}{2}, \frac{k}{2});$ $E q . o f C F : y = - \frac{h}{k} (x - a)$ $E q . o f B G : y = (\frac{a - h}{k}) x$ $E q . o f ⊥ o n A B t h r o u g h E :$ $y - \frac{k}{2} = - (\frac{h}{k}) (x - \frac{h}{2})$ $E q . o f ⊥ o n A C t h r o u g h D :$ $y - \frac{k}{2} = (\frac{a - h}{k}) (x - \frac{a + h}{2})$ $. . . . . .$
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