ABCD is a trapezium with ab parallel dc a parallel to ac intersect ab at x and at y prove that are(∆adx) =(∆acy)
rohitrathee30:
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Answer:
Step-by-step explanation:
Given,
ABCD is a
trapezium with AB || DC & XY || AC
Construction,
Join CX .
To Prove,
ar(ADX) =
ar(ACY)
Proof:
ar(△ADX) =
ar(△AXC) —
(i)
(On the
same base AX and between the same parallels AB and CD)
also,
ar(△ AXC)=ar(△ ACY) — (ii)
(On the same base AC and between the same
parallels XY and AC.)
From (i) and (ii),
ar(△ADX)=ar(△ACY)
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