Question

3. In the figure, AP : PB = 1: 2 and PQ : QC = 1:2
i) What part of area of AABC is the area of AAPC?
ii) What part of the area of the AABC is the area
of AAQC?​

Answer 1

If a point divides a side in m:n, then the line joining the opposite vertex and the point divides the area of triangle in m:n. Hence proved that area of triangle AQC :area of triangle ABC=2:5.

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