Question

In ∆ABC, AD is a median. E is the midpoint of BD and O is the midpoint of AE. Prove that ar(AOB)=1/8ar(ABC)​

Answer 1

Answer:

In ABC, it is given that D is the midpoint of BC, E is the midpoint of BD and O is the midpoint of AE.

Then BE=41​BC OR OE=21​AE

WE know thet area of triangle =21​h.b

Area of triangle ABC=21​BC(AE)

Area of triangle BOE=21​BE(OE)

Then area of triangleBOE=81​area of triangleABCStep-by-step explanation: