Question

Using ruler and compass only:
Construct a rhombus ABCD with AB = 6 cm and diagonal AC = 7 cm.
Hence measure and write down the length of the diagonal BD.​

Answer 1

Answer:

see figure I make you are answer

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