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24909
2 years 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?
โ
a 16< d
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b 12 < d < 14
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c 14 < d < 16
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d 8 < d < 11
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e 7 < d < 10
Tags: xat
1 Replies
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In ฮPQR, PR < PQ + QRย
PR < 7 + 4
PR < 11
In ฮPSR, PS + PRย >ย SR
PRย > SR - PSย
PRย > 11 โ 3
PR > 8
ย
Thus 8 < PR < 118 < d < 11
Choice (D).
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