c inteat X and Bcaty Prove thatARC-o (Anc)

1.	c inteat X and Bcaty Prove thatARC-o (Anc)
Answer» Two Triangles on the same base and betweenthe same parallels are equal in area. ========================================================== 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)

Answer»

Two Triangles on the same base and betweenthe same parallels are equal in area.

==========================================================

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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