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In parallelogram ABCD, E is on BC. AE cu...

In parallelogram ABCD, E is on BC. AE cuts diagonal BD at G and DC at F as shown in parallelogram ABCD. If AG = 6 cm, GE = 4 cm then find the length of EF

Text Solution

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`/_AGD`~`/_BGE`
`(BE)/(AD)=(GE)/(AG)=(BG)/(GD)`
`(BE)/(AD)=2/3=(BG)/(GD)`
`(BE)/(BC)=2/3`
`/_AFC`~`/_EFD`
`(EF)/(AF)=(EC)/(AP)=(BC-BE)/(BC)`
`1-(BE)/(BC)=1-2/3=1/3`
`(EF)/(AF)=1/3`
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