Math, asked by celeticcharge, 10 months ago

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

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Answers

Answered by gunishamalhotra
0

Answer:

I hope it will help !!!

Thank you!!!!

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Answered by BlessedMess
28

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.

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