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

Step-by-step explanation:

BD=10cm according to this diagram

Answer 2

Steps of construction:

(i) Construct triangle OBC such that

OB = ½ x BD = ½ x 4.4cm = 2.2cm

OC = ½ x AC = ½ x 8.6cm = 4.3cm

Since, diagonals of || gm bisect each other and BC = 4cm

(ii) Produce BO to D such that BO = OD = 2.2cm

(iii) Produce CO to A such that CO = OA = 4.3cm

(iv) Join AB, AD and CD

Thus, ABCD is the required parallelogram.

(v) Measure the side AB, AB = 5.6cm