Math, asked by celeticcharge, 9 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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