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Question Number 13498 by sin (x) last updated on 20/May/17

Commented by ajfour last updated on 20/May/17

$i f △ A B C i s e q u i l a t e r a l,$ $A r e a (△ A B C) = 12 \times A r e a (△ A E D) .$
	Answered by mrW1 last updated on 21/May/17

	$s i n c e A E = E B$ $\Rightarrow A_{Δ A E C} = A_{Δ B E C}$ $\Rightarrow A_{Δ A E C} = \frac{1}{2} A_{Δ A B C}$ $s i n c e D C = 5 \times A D$ $\Rightarrow A_{Δ C E D} = 5 \times A_{Δ A E D}$ $\Rightarrow A_{Δ A E D} = \frac{1}{6} \times A_{Δ A E C} = \frac{1}{6} \times \frac{1}{2} A_{Δ A B C}$ $\Rightarrow A_{Δ A B C} = 12 \times A_{Δ A E D} = 12 \times 4 = 48 {c m}^{2}$ $\Rightarrow A n s w e r ?)$
	Commented by mrW1 last updated on 21/May/17

	$h a h a, c l e a r! I h a d 12 \times 3 i n h e a d .$
	Commented by mrW1 last updated on 21/May/17

	Commented by ajfour last updated on 21/May/17

	$12 \times 4 \neq 36 .$
	Commented by ajfour last updated on 21/May/17

	$i understand .$
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