Mathematics
Using ruler and compasses only, construct a parallelogram ABCD such that BC = 4 cm, diagonal AC = 8.6 cm and diagonal BD = 4.4 cm. Measure the side AB.
Rectilinear Figures
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Answer
Steps of construction:
- Draw a line segment BC = 4 cm.
- Construct triangle OBC such that
OB = x BD = 2.2 cm
OC = x AC = 4.3 cm - With B as center and radius 2.2 cm and with centre C and radius 4.3 cm, draw arcs intersecting each other at O.
Since, diagonals of || gm bisect each other. - Produce BO to D such that BO = OD = 2.2 cm.
- Produce CO to A such that CO = OA = 4.3 cm.
- Join AB, AD and CD. Then ABCD is the required parallelogram.
![Using ruler and compasses only, construct a parallelogram ABCD such that BC = 4 cm, diagonal AC = 8.6 cm and diagonal BD = 4.4 cm. Measure the side AB. Rectilinear Figures, ML Aggarwal Understanding Mathematics Solutions ICSE Class 9.](https://cdn1.knowledgeboat.com/img/mla9/q10-c13-2-rectilinear-ml-aggarwal-solutions-icse-class-9-523x380.png)
On measuring AB = 5.6 cm.
Hence, AB = 5.6 cm.
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