2014 · Q87
ABCD is a parallelogram. E is a point on BC such that BE : EC = m : n. If AE and DB intersect in F, then what is the ratio of the area of triangle FEB to the area of triangle AFD?
Elementary MathematicsGeometry
- Am/n
- B(m/n)^2
- C(n/m)^2
- D[m/(m+n)]^2
Explanation
Triangles FEB and AFD are similar with linear ratio BE/AD = m/(m+n); area ratio is the square.