Construct a parallelogram ABCD, in which diagonal AC=3.8cm, diagonal BD=4.6cm and the angle between AC and BC is 60°.

Question

Philoid · Accepted Answer

The given parallelogram ABCD can be drawn as follows:

Step 1: Draw a line segment AC = 3.8 cm.

Step 2: Bisect AC at O.

Step 3: At O, draw ∠COX = 60°.

Step 4: Set OB = 2.3cm and OD = 2.3 cm (Half of 4.6cm)

Step 5: Now, join AB, BC, CD and DA.

Step 7: ABCD is the required parallelogram.