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Construct a q...

Question

Construct a quadrilateral PQRS in which PQ = 4.5 cm, QR = 5.2 cm, RS = 5.5 cm, PS = 4 cm, and ∠PQR = 120°.

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Solution

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P Q R S

P Q = 4.5 c m

Q R = 5.2 c m

R S = 5.5 c m

P S = 4 c m

∠ P Q R = 120^{o}

= 6.5

= 5.5

= 7

= 4.5

= 5.5

= 4.5

∠

= 45^{o}

= 3

In quadrilateral PQRS, PQ = 4 cm, QR = 3 cm, RS = 5.9 cm, QS = 4.8 cm and PR = 5.5 cm. Find the value of PS using constructions.

P Q R S

P Q = Q R = 3 c m

P S = R S = 4 c m

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