Construct parallelogram PQRS in which SR = 7 cm, PS = 5 cm and Angle PSR = 75°. Write steps of
construction
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1
Answer:
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Answer:
24 cm
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 P Q = 5cm
→ Construct an angle of 70° at point Q. → Cut off QR = 7cm
→ Construct an angle of 110° at point P.
→ Cut off PS = 7cm
Join RS
⇒ Thus PQRS is a required parallelogram
→ Let a = 5cm and b = 7cm
→ Perimeter of parallelogram P QRS = 2(a + b)2(5 + 7)= 24
→ The perimeter of parallelogram
PQRS = 24cm
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