plzz solve it quickly
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Solution :
Solution : Given,
Solution : Given,XY || BC, BE || AC and CF || AB
Solution : Given,XY || BC, BE || AC and CF || ABTo show,
Solution : Given,XY || BC, BE || AC and CF || ABTo show,ar(ΔABE) = ar(ΔAC)
Solution : Given,XY || BC, BE || AC and CF || ABTo show,ar(ΔABE) = ar(ΔAC)Proof:
Solution : Given,XY || BC, BE || AC and CF || ABTo show,ar(ΔABE) = ar(ΔAC)Proof:EY || BC (XY || BC) --- (i)
Solution : Given,XY || BC, BE || AC and CF || ABTo show,ar(ΔABE) = ar(ΔAC)Proof:EY || BC (XY || BC) --- (i)BE∥ CY (BE || AC) --- (ii)
Solution : Given,XY || BC, BE || AC and CF || ABTo show,ar(ΔABE) = ar(ΔAC)Proof:EY || BC (XY || BC) --- (i)BE∥ CY (BE || AC) --- (ii)BEYC is a parallelogram
Solution : Given,XY || BC, BE || AC and CF || ABTo show,ar(ΔABE) = ar(ΔAC)Proof:EY || BC (XY || BC) --- (i)BE∥ CY (BE || AC) --- (ii)BEYC is a parallelogramBXFC is a parallelogram.
Solution : Given,XY || BC, BE || AC and CF || ABTo show,ar(ΔABE) = ar(ΔAC)Proof:EY || BC (XY || BC) --- (i)BE∥ CY (BE || AC) --- (ii)BEYC is a parallelogramBXFC is a parallelogram.Parallelograms on the same base BC and between the same parallels EF and BC.
Solution : Given,XY || BC, BE || AC and CF || ABTo show,ar(ΔABE) = ar(ΔAC)Proof:EY || BC (XY || BC) --- (i)BE∥ CY (BE || AC) --- (ii)BEYC is a parallelogramBXFC is a parallelogram.Parallelograms on the same base BC and between the same parallels EF and BC.⇒ ar(BEYC) = ar(BXFC) (Parallelograms on the same base BC and between the same parallels EF and BC)
Solution : Given,XY || BC, BE || AC and CF || ABTo show,ar(ΔABE) = ar(ΔAC)Proof:EY || BC (XY || BC) --- (i)BE∥ CY (BE || AC) --- (ii)BEYC is a parallelogramBXFC is a parallelogram.Parallelograms on the same base BC and between the same parallels EF and BC.⇒ ar(BEYC) = ar(BXFC) (Parallelograms on the same base BC and between the same parallels EF and BC) Also,
Solution : Given,XY || BC, BE || AC and CF || ABTo show,ar(ΔABE) = ar(ΔAC)Proof:EY || BC (XY || BC) --- (i)BE∥ CY (BE || AC) --- (ii)BEYC is a parallelogramBXFC is a parallelogram.Parallelograms on the same base BC and between the same parallels EF and BC.⇒ ar(BEYC) = ar(BXFC) (Parallelograms on the same base BC and between the same parallels EF and BC) Also,△AEB and parallelogram BEYC are on the same base BE and between the same parallels BE and AC.
Solution : Given,XY || BC, BE || AC and CF || ABTo show,ar(ΔABE) = ar(ΔAC)Proof:EY || BC (XY || BC) --- (i)BE∥ CY (BE || AC) --- (ii)BEYC is a parallelogramBXFC is a parallelogram.Parallelograms on the same base BC and between the same parallels EF and BC.⇒ ar(BEYC) = ar(BXFC) (Parallelograms on the same base BC and between the same parallels EF and BC) Also,△AEB and parallelogram BEYC are on the same base BE and between the same parallels BE and AC.=) ar(△AEB) = 1/2ar(BEYC) --- (iv)
Solution : Given,XY || BC, BE || AC and CF || ABTo show,ar(ΔABE) = ar(ΔAC)Proof:EY || BC (XY || BC) --- (i)BE∥ CY (BE || AC) --- (ii)BEYC is a parallelogramBXFC is a parallelogram.Parallelograms on the same base BC and between the same parallels EF and BC.⇒ ar(BEYC) = ar(BXFC) (Parallelograms on the same base BC and between the same parallels EF and BC) Also,△AEB and parallelogram BEYC are on the same base BE and between the same parallels BE and AC.=) ar(△AEB) = 1/2ar(BEYC) --- (iv)△ACF and parallelogram BXFC
Solution : Given,XY || BC, BE || AC and CF || ABTo show,ar(ΔABE) = ar(ΔAC)Proof:EY || BC (XY || BC) --- (i)BE∥ CY (BE || AC) --- (ii)BEYC is a parallelogramBXFC is a parallelogram.Parallelograms on the same base BC and between the same parallels EF and BC.⇒ ar(BEYC) = ar(BXFC) (Parallelograms on the same base BC and between the same parallels EF and BC) Also,△AEB and parallelogram BEYC are on the same base BE and between the same parallels BE and AC.=) ar(△AEB) = 1/2ar(BEYC) --- (iv)△ACF and parallelogram BXFC⇒ ar(△ ACF) = 1/2ar(BXFC) --- (v)
Solution : Given,XY || BC, BE || AC and CF || ABTo show,ar(ΔABE) = ar(ΔAC)Proof:EY || BC (XY || BC) --- (i)BE∥ CY (BE || AC) --- (ii)BEYC is a parallelogramBXFC is a parallelogram.Parallelograms on the same base BC and between the same parallels EF and BC.⇒ ar(BEYC) = ar(BXFC) (Parallelograms on the same base BC and between the same parallels EF and BC) Also,△AEB and parallelogram BEYC are on the same base BE and between the same parallels BE and AC.=) ar(△AEB) = 1/2ar(BEYC) --- (iv)△ACF and parallelogram BXFC⇒ ar(△ ACF) = 1/2ar(BXFC) --- (v)From (iii), (iv) and (v),
Solution : Given,XY || BC, BE || AC and CF || ABTo show,ar(ΔABE) = ar(ΔAC)Proof:EY || BC (XY || BC) --- (i)BE∥ CY (BE || AC) --- (ii)BEYC is a parallelogramBXFC is a parallelogram.Parallelograms on the same base BC and between the same parallels EF and BC.⇒ ar(BEYC) = ar(BXFC) (Parallelograms on the same base BC and between the same parallels EF and BC) Also,△AEB and parallelogram BEYC are on the same base BE and between the same parallels BE and AC.=) ar(△AEB) = 1/2ar(BEYC) --- (iv)△ACF and parallelogram BXFC⇒ ar(△ ACF) = 1/2ar(BXFC) --- (v)From (iii), (iv) and (v),ar(△AEB) = ar(△ACF).
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