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 ___

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Solution

The correct option is B
24

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 = $\frac{1}{2}$ x 6 x 8 = 24 $c m^{2}$

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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 ___

The correct option is B 24 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 x 6 x 8 = 24 cm2

The correct option is B
24

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 = $\frac{1}{2}$ x 6 x 8 = 24 $c m^{2}$