Construct a parallelogram, one of whose sides are 4.4 cm and whose diagonal are 5.6 cm and 7 cm. Measure the other side.

Question

Philoid · Accepted Answer

The given parallelogram ABCD can be drawn as follows:

Step 1: Draw a line segment AB = 4.4 cm.

Step 2: With 2.8 cm from B draw an arc. (Diagonals of a parallelogram bisect each other.)

Step 3: Now, take 3.5 cm from A and cut the arc drawn in step 2 and the point of intersection of arcs is O.

Step 4: Join OA and OB.

Step 5: Produce AO to C such that OC = AO and produce BO to D such that OD = OB.

Step 6: Now, join AD, BC and CD.

Step 7: ABCD is the required parallelogram.