__Question:__Construct a parallelogram when one of its side is 4 cm and its two diagonals are 5.6 cm and 7 cm. Measure the other side.

**Options:**

:

**Steps of Construction**

**Step I**Draw AB = 4 cm.

**Step II**With A as centre and radius 2.8 cm, draw an arc.

**Step III**With B as centre and radius 3.5 cm, draw another arc, cutting the previous arc at O.

**Step IV**Join OA and OB.

**Step V**Produce AO to C such that OC = AO and produce BO to D such that OD = BD.

**Step VI**Join AD, BC and CD.

Thus, ABCD is the required parallelogram.

and other side = 5 cm.

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## More Questions on This Topic :

__Question 5.__Which of the following can be four interior angles of a quadrilateral?

a) 140∘,40∘,20∘,160∘

b) 270∘,150∘,30∘,20∘

c) 40∘,70∘,90∘,60∘

d) 110∘,40∘,30∘,180∘

: We know that the sum of interior angles of a quadrilateral is 360∘

Thus, the angles in option (a) can be four interior angles of a quadrilateral as their sum is 360∘.

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