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Construction of a Quadrilateral When Two Diagonals and Three Sides Are Given

Construct a q...

Question

Construct a quadrilateral PQRS with PQ=7cm, QR=8cm, RS=6cm, PR=11cm, QS=12cm.

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Solution

1. Draw QR of length 8cm.
2. Cut an arc of 12 cm from Q and 6 cm from R. Their point of intersection is S.
3. Cut an arc of 7 cm from Q and 11cm from R. Their point of intersection is P.
4. Join PQ, PS, SR, QR.
PQRS is the required quadrilateral.

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Similar questions

P Q R S

Q R = 8

R S = 4

S P = 9

P Q = 5.5

Q S = 6

Construct a cyclic quadrilateral PQRS with PQ = 4 cm, QR = 6 cm, PR = 7.5 cm, QS = 7 cm

= 4

= 6

= 7.5

= 7

P Q R S

Q R = 7.5 c m, P R = P S = 6 c m, R S = 5 c m

Q S = 10 c m

P Q R S

P Q = Q R = 4.3 c m

P R = 6.2 c m, Q S = 5.8 c m

P Q R S

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