1. In APQR, 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
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By: anil on 05 May 2019 01.55 am
NOTE :- The ratio of area of two triangles on same base is equal to the ratio of two corresponding sides of the two triangles. Given : QR = 4.5 cm and SR = 1.5 cm => QS = QR - SR = 4.5-1.5 = 3 cm
Since, the two triangles PQS and PSR have same base PS => $$frac{area( riangle PQS)}{area( riangle PSR)} = frac{QS}{SR}$$ = $$frac{3}{1.5}$$ = 2 : 1
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Since, the two triangles PQS and PSR have same base PS => $$frac{area( riangle PQS)}{area( riangle PSR)} = frac{QS}{SR}$$ = $$frac{3}{1.5}$$ = 2 : 1