Math, asked by RebekahAugustine, 7 months ago

9. ABCD is a trapezium in which AB II DC and its
diagonals intersect each other at the point O. Show
AO CO
that
BO DO​

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Answers

Answered by MairaShah786
10

HEY MATE...!

HERE IS UR ANSWER...

ABCD is a trapezium where AB || DC and diagonals AC and BD intersect at O.

To prove

AOBO=CODO

Construction

Draw a line EF passing through O and also parallel to AB

Now, AB ll CD

By construction EF ll AB

∴ EF ll CD

Consider the ΔADC,

Where EO ll AB

According to basic proportionality theorem

AEED=AOOC ………………………………(1)

Now consider Δ ABD

where EO ll AB

According to basic proportionality theorem

AEED=BOOD ……………………………..(2)

From equation (1) and (2) we have

AOOC=BOOD

⇒ AOBO=OCOD

Hence the proof.

HOPE IT HELPS...!

THANKS.

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Answered by tushardubey257
2

Answer:

bhej raha is the write of a lady of her life who is a

Step-by-step explanation:

b said the government would be a member for this year and password 366 7777

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