Question

In the given figure, `MN||BC and AM: MB=1:2`
Find `("area" (Delta AMN))/("area" (Delta ABC))`

Answer 1

Correct Answer - `(1)/(9)`
`MN||BC rArr Delta AMN~ Delta ABC`.
`:. ("area" (Delta AM))/("area" (Delta ABC))=(AM^(2))/(AB^(2))=((AM)/(AM+MB))^(2)=((x)/(x+2x))^(2)=(1)/(9) [ AM: MB=1:2, "so let AM"= x, "then" MB=2x]`