wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

In the given figure; AD is median of ΔABC and E is any point on median AD. If Area (ΔABE) = xArea (ΔACE).Then find x
196099.jpg

Open in App
Solution

Since AD is the median of ΔABC, therefore it will divide ΔABC into triangles of equal areas that is Ar(ΔABD)=Ar(ΔACD).........( eqn 1)

Also ED is the median of ΔEBC, therefore, Ar(ΔEBD)=Ar(ΔECD)..........( eqn 2)

On subtracting equation 2 from 1, we get

Ar(ΔABD)Ar(ΔEBD)=Ar(ΔACD)Ar(ΔECD)

Ar(ΔABE)=Ar(ΔACE)

x=1

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
The Centroid
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon