Question

Construct a parallelogram PQRS such that PQ =5.2 cm, PR=6.8 cm, and QS=8.2 cm,

Answer 1

In a parallelogram, diagonals bisect each other, Now
(i) Draw a line segment PQ = 5.2 cm.
(ii) With centre P and radius 3.4 cm, $(\frac{1}{2}$ of PR) and with centre Q and radius 4.1 cm,$(\frac{1}{2}$ of QS) draw arcs intersecting each other at O.

(iii) Join PQ and QO and prouduced them to R and S respectively such that PO =OR and QO=OS.
(IV) Join PS, SR and RQ.
Then PQRS is required parallelogram.