If D and E are the mid-points of AB and AC respectively

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If D and E are the mid-points of AB and AC respectively of ∆ABC, then the ratio of the areas of ∆ADE and B∎ CED is

DE \|\| BC and DE =	1	BC
	2

∴	Area of ∆ABC	=	BC²	= 4
	Area of ∆ADE		DE²

∴ Area of ∆ADE =	1	× Area of ∆ABC
	4

Area of ∎ BCED

=	3	× Area of ∆ABC
	4

∴ Required ratio = 1 : 3