Question

In ABC, produce a line from B to AC, meeting at D, and from C to AB, meeting at E. Let BD and CE meet at X.Let $\Delta$ BXE have area a, $\Delta$ BXC have area b, and $\Delta$ CXD have area c. Find the area of quadrilateral AEXD in terms of a, b, and c.

• A. $\frac{bc(2a+b+c)}{b^2-ac}$
• B. $\frac{ac(a+2b+c)}{b^2-ac}$
• C. $\frac{abc}{b^2-ac}$
• D. $\frac{ab(a+b+2c)}{b^2-ac}$

Answer 1

The correct option is B $\frac{ac(a+2b+c)}{b^2-ac}$

Option (B) is correct option. Check the video for the approach.