Question

in the figure,∆ABC and ∆ABD are two triangles .on the same base AB. if line segment CD is bisected by ABbar at O,show that
ar(∆ABC)=ar(∆ABD)​

Answer 1

Answer:

Where's your figure upload that?

Answer 2

In triangle ABC, AO is the median (CD is bisected by AB at O)

So, ar(AOC)=ar(AOD)..........(i)

Also,

triangle BCD,BO is the median. (CD is bisected by AB at O)

So, ar(BOC) = ar(BOD)..........(ii)

Adding (i) and (ii),

We get,

ar(AOC)+ar(BOC)=ar(AOD)+(BOD)

⇒ ar(ABC) = ar(ABD)

Hence showed.