Question

PQ is a line parallel to side BC and passing through vertex A of a triangle ABC. 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 ___.

• A. 12 cm²
• B. 24 cm²
• C. 48 cm²
• D. 96 cm²

Answer 1

The correct option is B

24 cm²

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