1010triangular plot. Explain how this pnd h e of his land adjoining hi

1.	1010triangular plot. Explain how this pnd h e of his land adjoining his plot soroposal will be implementedABCD is a trapezium with AB \|IDC. A line parallel to AC intersects AB at X and BCat Y. Prove that ar (ADX) = ar (ACY).13.[Hint : Join CX.]
Answer» Given, ABCD is atrapezium 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 sameparallels XY and AC.) From (i) and (ii), ar(△ADX)=ar(△ACY) hit like if you find it useful

1010triangular plot. Explain how this pnd h e of his land adjoining his plot soroposal will be implementedABCD is a trapezium with AB |IDC. A line parallel to AC intersects AB at X and BCat Y. Prove that ar (ADX) = ar (ACY).13.[Hint : Join CX.]

Answer»

Given,

ABCD is atrapezium 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 sameparallels XY and AC.)

From (i) and (ii),

ar(△ADX)=ar(△ACY)

hit like if you find it useful