Question

construct a parallelogram PQRS with PQ=4.5CM
QR=3CM,

Answer 1

Step-by-step explanation:

GIVEN : In Parallelogram PQRS,

PQ = 4.5 cm

QR = 3 cm

∠PQR = 60o

PROCEDURE :

Step 1: Draw a rough sketch of the parallelogram and mark the given measurements.

Here , we are given only 3 measurements. But as PQRS is a parallelogram , we can also write that RS = PQ = 4.5 cm and SP = QR = 3 cm.

(now we got 5 measurements in total)

Step 2 : Draw ΔPQR using the measures PQ = 4.5 cm , ∠PQR = 60°

and QR = 3 cm.

Step 3 : Locate the 4th vertex ‘S’ using the other 2 measurements PS = 3 cm and RS = 4.5 cm. To locate the fourth vertex ‘S’ , draw an arc , with center P and radius 3cm (PS=3cm).

Draw another arc with center R and radius 4.5cm (RS=4.5cm) which cuts the previous arc at S.

Step 4 : Join RS and PS to complete the required parallelogram.