In a trapezium ABCD, ABIDC and DC-2AB EFIAB where E and F lie on BC an

1.	In a trapezium ABCD, ABIDC and DC-2AB EFIAB where E and F lie on BC and AUrespectively such that B-diagonal DB interests EF at G prove that 7EF-1 IABEC 3di
Answer» given DC = 2 ABDraw BH parallel to AD. H will be the middle point of DC as AB = DH.Sin EF \|\| AB, FI = AB TheΔBHC andΔBIE are similar as the correspondingsides are parallel.So IE / HC = BE / BC IE = HC * BE / BC = y * 4x/7x = 4 y /7 EF = FI + IE= y + 4 y /7 = 11 y / 7 so 7 EF = 11 AB

In a trapezium ABCD, ABIDC and DC-2AB EFIAB where E and F lie on BC and AUrespectively such that B-diagonal DB interests EF at G prove that 7EF-1 IABEC 3di

Answer»

given DC = 2 ABDraw BH parallel to AD. H will be the middle point of DC as AB = DH.Sin EF || AB, FI = AB

TheΔBHC andΔBIE are similar as the correspondingsides are parallel.So IE / HC = BE / BC IE = HC * BE / BC = y * 4x/7x = 4 y /7

EF = FI + IE= y + 4 y /7 = 11 y / 7

so 7 EF = 11 AB