Q5 of 8 Page 244

I draw a square with side 5 cm. I draw a parallelogram with equal area of square of which one angle is 60°.

A. Draw the given square ABCD.



B. Draw the diagonal DB of square ABCD.


C. Draw a parallel line through point C to diagonal DB of square ABCD which intersects at E produced AB.


D. CE||DB.



Proof:


Since sides of square are equal and parallel, AB||DC and thus, DC||AE.


∴ square ABCD = ∆ABE (on same base DC and between same parallels DC and AE)


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