Question

Construct a parallelogram PQRS in which PR =6 cm ,QS = 8 cm and the angle between the two diagonal is 60°

Answer 1

Answer:

given PO = 8 cm

therefore PO=OR=8cm

PO+OR=16cm (PR)

given pr=ps+4cm

therefore QS=12cm

os=1/2×12=6cm

ans= 6cm

Answer 2

7 Step construction for Parallelogram

Step-by-step explanation:

We know that,

One of the properties of Parallelogram -

Using *Diagonals of a parallelogram are bisectors of each other.

Construction Steps for Parallelogram -  

1.) Line segment PR = 6 cm is being drawn initially as the first step.

2.) Draw an arc P0 = 3 cm, intersecting PR at O, with center P.

3.) Draw an $\angle XOR$  = 60°

4.) With O center, draw an arc of length 4 cm, intersecting XO at S.

5.) Extend the line XO to make it XY.

6.) Draw an arc of 4 cm length, intersecting YO at Q, from O as center.

7.) Join PQ, QR, RS, and SP.

PQRS is the required Parallelogram