In ∆PQR, the line drawn from the vertex P intersects

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In ∆PQR, the line drawn from the vertex P intersects QR at a point S. If QR = 4.5 cm and SR = 1.5 cm then the ratios of the area of triangle PQS and triangle PSR is

1. 4 : 1
2. 3 : 1
3. 3 : 2
4. 2 : 1

Correct Option: D

Using Rule 1,

QR = 4.5 cm
SR = 1.5 cm
∴ QS = 4.5 – 1.5 = 3 cm

∆PQS

∆PSR

=	1	× h × QS
	2

	1	× h × SR
	2

=	3	= 2 : 1
	1.5