In ΔABC, AD is a median. If points E, F and G are midpoints of AD, AE and DE, respectively, then what will be the are ΔBFG ?
Answer & explanation
Correct answer: option 3
As points E, F and G are midpoints of AD, AE and DE, respectively
AE = FE = EG = GD
So, They divide the triangle ABD in 4 equal parts.
AD is median . So,
Area of triangle ABD = \(\frac{1}{2}\) × Area of triangle ABC
Area of triangle BFG = \(\frac{1}{2}\) × ( \(\frac{1}{2}\) × Area of triangle ABC )
[ ⇒ AF = FE = EG = GD ]
Area of triangle BFG = \(\frac{1}{4}\) × Area of triangle ABC