a farmer has two piece of land in a parallelogram shape on the same base. he grows vegetables and flowers in two triangular pieces of land 1. check wheather the two triangular piece of land are equal in area.
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Yes , two triangular pieces of land are equal in areas
Step-by-step explanation:
Let draw AM ⊥ FE & BN ⊥CD
AB ║ EF ║ CD
& EF are CD on same line
=> AM = BN
AB = EF
AB = CD
=> CD = FE
FD = EF - DE = AB - DE
CE = CD - DE = AB - DE
=> FD = CE
Area of Δ ADF = (1/2) FD * AM
Area of ΔBCE = ( 1/2) CE * BN
FD = CE & AM = BN
=> Area of Δ ADF = Area of ΔBCE
Yes , two triangular pieces of land are equal in areas
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