1.

In the following figure `AP_|_BC, AD||BC,` then find `A(DeltaABC):A(DeltaBCD)`.

Answer» `DeltaABC` and `DeltaBCD` have same base BC. The vertices of `DeltaABC` and `DeltaBCD` lie on the parallel lines AD and BC. The distance between the two parallel lines is the height of the triangles.
Distance between parallel lines is constant.
`:.DeltaABC` and `DeltaBCD` have equal heights.
Areas of two traingles of equal bases and equal heights are equal.
`:.A(DeltaABC)=A(DeltaBCD)`
`:.(A(DeltaABC))/(A(DeltaBCD))=1/1`
`:.A(DeltaABC):A(DeltaBCD)=1:1`
`A(DletaABC):A(DeltaBCD)=1:1`


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