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Step-by-step explanation:
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Step-by-step explanation:
GE is joined,
Then in parallelogram ADGE and BCGE,
∆HGE and ∆FGE are in the same parallel sides and have same base to the parallelogram ADGE and BCGE respectively,
By Theorem,
ar(∆HGE)=1/2 ar(ADGE) _____1
ar(∆FGE)= 1/2 ar(BCGE) _____2
1+2
=> ar(EFGH)= 1/2 { ar(ADGE) +ar(BCGE)
=> ar(EFGH)= 1/2 ar(ABCD)
proved
Hope it Helps......
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