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ABCD is a trapezium with AB …

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ABCD is a trapezium with AB parallel DC . E and F are points on non - parallel of AD and BC

Posted by Parneet Kaur 5 years, 1 month ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 5 years, 1 month ago

ABCD is a trapezium with AB || DC, E and F are points on non-parallel sides AD and BC respectively such that EF is parallel to AB show that

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Given trap. ABCD in which AB || DC and EF || AB.
To prove:
Const: Join A-C.
Proof: ∵ AB || DC and EF || AB
⇒    AB || EF || DC
Now, in ∆ADC, we have

    ...(i)
[using Basic proportionality theorem]

Now, in ∆ABC, we have

...(ii)
Comparing (i) and (ii), we get

0Thank You

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