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1 year ago
Geometry
In quadrilateral PQRS, PQ = 7, QR = 4, RS = 11 and SP = 3. If the length of the diagonal PR is d, which of the following is true?
Body
In quadrilateral PQRS, PQ = 7, QR = 4, RS = 11 and SP = 3. If the length of the diagonal PR is d, which of the following is true?
β
a 16< d
Β
b 12 < d < 14
Β
c 14 < d < 16
Β
d 8 < d < 11
Β
e 7 < d < 10
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1 Replies
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In ΞPQR, PR < PQ + QRΒ
PR < 7 + 4
PR < 11
In ΞPSR, PS + PRΒ >Β SR
PRΒ > SR - PSΒ
PRΒ > 11 β 3
PR > 8
Β
Thus 8 < PR < 118 < d < 11
Choice (D).
Β
