In △ABC, F and E are the points on sides AB and AC, respectively, such that FEBC and FE divides the triangle in two parts of equal area. If AD∠BC and AD intersects FE at G, then GD : AG = ?

Question :

In △ABC, F and E are the points on sides AB and AC, respectively, such that FEBC and FE divides the triangle in two parts of equal area. If AD∠BC and AD intersects FE at G, then GD : AG = ?

Options :

• √2 : 1
• ( √2 – 1) : 1
• 2 √2 : 1
• ( √2 + 1) : 1

correct answer : b)