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Construct a parallelogram ABCD, if: AB = 5.5 cm, BC = 4.6 cm and LABC = 60o (using ruler and compass). |
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Answer» option isB20 cm⇒ Draw a line segment AB = 6cm.⇒ CONSTRUCT an ANGLE of 60 ∘ at point B.⇒ CUT off BC = 4cm.⇒ We know that adjacent ANGLES of PARALLELOGRAM are supplementary then, construct an angle of 120 ∘ at point A and C which meet at point D.⇒ Thus, ABCD is a required parallelogram.⇒ Let AB=a=6cm and BC=b=4cm --- ( 1 )⇒ Perimeter of parallelogram ABCD=2(a+b)⇒ 2(6+4) [From( 1 )]∴ Perimeter of parallelogram ABCD=20cm. |
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