In ∆ABC and ∆PQR, ∠B = ∠Q, ∠C =

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In ∆ABC and ∆PQR, ∠B = ∠Q, ∠C = ∠R. M is the midpoint of side QR. If AB : PQ = 7 : 4, then
area(∆ABC) is :
area(∆PMR)

M is the mid point of QR.
∴ PM is the median.
∴ ∆PMQ and ∆PMR are equal in area.
∠B = Q, ∠C = ∠R
By AA - similarity theorem,
∆ABC ~ ∆PQR

∴	∆ABC	=	AB²	=		7		²
	∆PQR		PQ²			4

⇒	∆ABC	=	49
	2∆PMR		16

⇒	∆ABC	=	49	× 2 =	49
	2∆PMR		16		8

area(∆ABC)	is :
area(∆PMR)