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Using vectors, prove that the parallelog...

Using vectors, prove that the parallelogram on the same base and between the same parallels are equal in area.

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If a triangle and a parallelogram are on the same base and between the same parallels, the area of the triangle is equal to half of the parallelogram. GIVEN : A ABC and ||^(gm)BCDE on the same base BC and between the same parallels BC and AD. TO PROVE : ar(ABC=1/2 ar(||^(gm)BCDE) CONSTRUCTION : Draw AL _|_ BC and DM _|_ bc, metting BC produced in M.