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CBSE Class 10 Answered

pls explain
question image
Asked by gpnkumar0 | 28 Feb, 2018, 10:09: PM
answered-by-expert Expert Answer
begin mathsize 16px style Given colon
In space trapezium space ABCD space AB parallel to DC space and space DC equals 2 AB
EF parallel to AB space where space straight E space and space straight F space lie space on space BC space and space AD
BE over EC equals 4 over 3
Diagonal space BD space intersects space EF space at space straight G
Prove colon space 7 EF equals 11 AB
Proof colon space
Draw space BT parallel to AD space such space that space straight T space is space mid space point space of space DC
FP equals AB
increment BTC space and space increment BPE
PE over TC equals BE over BC
PE equals TC cross times BE over BC
PE equals straight n cross times fraction numerator 4 straight m over denominator 7 straight m end fraction
PE equals 4 over 7 straight n
EF equals FP plus PE
EF equals straight n plus 4 over 7 straight n
EF equals 11 over 7 straight n
7 EF equals 11 straight n
7 EF equals 11 AB



end style
Answered by Sneha shidid | 01 Mar, 2018, 09:39: AM

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