The medians of `Delta ABC` intersect at point G. Prove that:
area of `Delta AGB = (1)/(3) xx " area of " Delta ABC`

In the adjoining figure, AD is the median of Delta ABC and X be any point on side AD. Prove that: area (Delta ABX) = " area " (Delta ACX)

In the adjoining figure, AD is the median of Delta ABC and X be any point on side AD. Prove that: area (Delta ABX) = " area " (Delta ACX)

Two medians BE and CF of Delta ABC intersect at G. Prove that area of the quadrilateral AFGE=(1)/(3)Delta ABC.

The median BE and CF of a triangle ABC intersect at G. Prove that the area of DeltaGBC = area of the quadrilateral AFGE.

The median BE and CF of a triangle ABC intersect at G. Prove that the area of DeltaGBC = area of the quadrilateral AFGE.

(ix) AD, BE and CF are the three medians of Delta ABC and intersect at G. The area of the Delta ABC is 36 Sq. cm. Find (a) the area of Delta AGB and (b) the area of the quadrilateral BDGF.

D is the mid-point of side AB of the triangle ABC.E is the mid-point of CD and F is the mid-point of AE. Prove that 8 xx " area of " (DeltaAFD) = " area of " Delta ABC

D is the mid-point of side AB of the triangle ABC.E is the mid-point of CD and F is the mid-point of AE. Prove that 8 xx " area of " (DeltaAFD) = " area of " Delta ABC

Three medians AD, BE and CF of Delta ABC intersect at G. The area of Delta ABC is 36 sq. cm. Then the area of Delta CGE is

In the adjoining figure, D is the mid-point of side AB of Delta ABC and P be any point on side BC. If CQ ||PD , then prove that: area of Delta BPQ = (1)/(2) xx " area of " Delta ABC