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


please answer it fastly​

Answer 1

Given : Rhombus side AB = 6 cm and Diagonal AC = 7 cm

To Do : Construct a Rhombus

Steps of Construction :

Step 1 : Draw  a line segment AB = 6 cm

Step 2: Using compass width 7 cm and taking A as center draw an arc

Step 3 : Using compass width = 6 cm and taking B as center draw an arc such that it intersect arc drawn in step 2 at C

Step 4 : join BC

Step 5 : Using compass width = 6 cm and taking A as center draw an arc

Step 6 : Using compass width = 6 cm and taking C as center draw an arc such that it intersect arc drawn in step 5 at D

Step 7 : join AD  & CD

Rhombus ABCD is constructed  where AB = 6 cm & AC = 7 cm

BD ≈ 9.7 cm

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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