construct a parallelogram whose adjacents sides are 4cm and 6cm .one of its angle is 60 degrees(with construction steps)

July 2023 1 2 Report

Step-by-step explanation:

Question

Construct a parallelogram ABCD, with AB=6 cm,BC=4 cm and ∠ABC=60∘. Then the perimeter of the parallelogram is:

⇒ 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.

(hope it was helpful army)♥️