Asked by Owoyale Mariyam

Using a ruler and a pair of compasses only, construct a parallelogram ABCD in which/ab/=8cm, abc=135° and the diagonal/ac/=12cm. Without making any calculations, construct a rhombus cdpq equal in area to ABCD with p and q on AB produced. Draw a circle passing through c, d and p, measure the radius of the circle.

Answers

Answered by oobleck
Having constructed ABCD, use CD as radius and draw an arc to intersect AB extended at P. Then mark PQ=CD. The rhombus CDPQ has the same base and height as ABCD, so its area is the same.

And of course, C and P are both 8 cm from D, because that's the way we constructed P.
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