Question

39. Using ruler and compasses only, construct
a rectangle each of whose diagonals measure
6 cm and the diagonals intersect at an angle
of 45°.​

Answer 1

Answer:

u can try it I hope you will try it

Answer 2

Steps of construction:

(i) Draw AC = 6cm

(ii) Find the mid-point O of AC. [Since, diagonals of || gm bisect each other]

(iii) Draw line POQ such that POC = 60o and OB = OD = ½ BD = ½ x 8cm = 4cm

So, from OP cut OD = 4cm and from OQ cut OB = 4cm

(iv) Join AB, BC, CD and DA.

Thus, ABCD is the required parallelogram.

(v) Measure the length of side AD = 6.1cm