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PQ is a line parallel to side BC and passing through vertex A of a triangle ABC. If BE || AC and CF || AB meet PQ at E and F respectively. If the base and altitude of ΔABC are 6 cm and 8 cm respectively, the area of ΔACF is ___.
PQ is A Line Parallel To Side BC And Passing Through Vertex...


Options:
A .   12 cm2
B .   24 cm2
C .   48 cm2
D .   48 cm2
Answer: Option B
:
B

PQ is A Line Parallel To Side BC And Passing Through Vertex...


CF when drawn parallel to AB, forms parallelogram ABCF.


AC is the diagonal of the parallelogram that divides ABCF into 2 equal triangles ABC and ACF.


So, Area of ΔACF = Area of ΔABC = 12×6×8=24 cm2


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