Q. Construct a parallelogram PQRS with PQ=8.5cm,QR=5.5cm and PQRS=120°. Measure and write down the length of two diagonal.
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Answers
Answer:
We know that opposite sides and angle of parallelogram are equal.
⇒ And adjacent angles of parallelogram are supplementary. By using these properties we are going to construct a parallelogram.
⇒ Draw a line segment PQ=5cm
⇒ Construct an angle of 70
∘
at point Q.
⇒ Cut off QR=4cm
⇒ Construct an angle of 110
∘
at point P.
⇒ Cut off PS=4cm
⇒ Join RS
⇒ Thus PQRS is a required parallelogram
⇒ Let a=5cm and b=4cm
⇒ Perimeter of parallelogram PQRS=2(a+b) =2(5+4)=18
⇒ The perimeter of parallelogram PQRS=18cm
solution
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