Question

Construct a parallelogram ABCD, given that AB = 4 cm, Ac = 6 cm and BD = 7 cm

Answer 1

Given :  AB = 4 cm, Ac = 6 cm and BD = 7 cm

To find : Construct Parallelogram

Solution:

Step 1  : Draw a line segment BD = 7 cm

Step 2 : Find the mid point of BD using perpendicular bisector aand mark it as O

step 3 : Draw an arc using compass width = 6/2 = 3  cm and taking O as center

Step 4 : Draw an arc using compass width = 4  cm and taking B as center such that it intersect arc drawn in step 4 at A

Step 5 : join BA  & DA

Step 6 : Extend AO  and take O as center and compass width = OA and cut extended AO at C

Step 7 : join BC & CD

a parallelogram ABCD,  is constructed where AB = 4 cm, Ac = 6 cm and BD = 7 cm

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