Draw Angle PQR of measure 70° such that QP = 5 cm and QR = 4.5 cm. Through R, draw a line parallel to QP and through P draw a line parallel to QR intersecting each
other at O. Measure OP and OR. Write Steps of Constructions also.
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Step-by-step explanation:
- ⇒ 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=18cmk
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