Question
Construct a parallelogram, one of whose sides is 4.4cm and whose diagonals are 5.6cm and 7cm. Measure the other side.
✓
Answer
We know that the diagonals of a parallelogram bisect each other.
Steps of construction: Step 1: Draw AB = 4.4cm. Step 2: With A as the centre and radius 2.8cm, draw an arc. Step 3: With B as the centre and radius 3.5cm, draw another arc, cutting the previous arc at point O. Step 4: Join OA and OB. Step 5: Produce OA to C, such that OC = AO. Produce OB to D, such that OB = OD. Step 5: Join AD, BC, and CD. Thus, ABCD is the required parallelogram. The other side is 4.5cm in length.
Steps of construction: Step 1: Draw AB = 4.4cm. Step 2: With A as the centre and radius 2.8cm, draw an arc. Step 3: With B as the centre and radius 3.5cm, draw another arc, cutting the previous arc at point O. Step 4: Join OA and OB. Step 5: Produce OA to C, such that OC = AO. Produce OB to D, such that OB = OD. Step 5: Join AD, BC, and CD. Thus, ABCD is the required parallelogram. The other side is 4.5cm in length.
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