in the adjoining figure,CE is drawn parallel to DB to meet AB at E. Prove that:ar(quad.ABCD)=ar(triangle DAE)
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Hey mate!!!
Here is your answer ;
In the given figure,
CE // DB,
So, we can tell that
ar(tri. DBC) =ar(tri. DBE)
[because they are on the same base DB and between the same parallels CE and DB.]
Therefore,
Adding ar(tri. ADB) both sides in the following equation, we get;
ar(tri. DBC) + ar(tri. ADB) = ar(tri. DBE) + ar(tri. ADB)
AE is a straight line.
Then,
=> ar(quad. ABCD) = ar(tri. ADE)
Here tri. stands for triangle and quad. stands for quadrilateral.
Here is your answer ;
In the given figure,
CE // DB,
So, we can tell that
ar(tri. DBC) =ar(tri. DBE)
[because they are on the same base DB and between the same parallels CE and DB.]
Therefore,
Adding ar(tri. ADB) both sides in the following equation, we get;
ar(tri. DBC) + ar(tri. ADB) = ar(tri. DBE) + ar(tri. ADB)
AE is a straight line.
Then,
=> ar(quad. ABCD) = ar(tri. ADE)
Here tri. stands for triangle and quad. stands for quadrilateral.
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