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?

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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?

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a 16< d

ย 

b 12 < d < 14

ย 

c 14 < d < 16

ย 

d 8 < d < 11

ย 

e 7 < d < 10

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  • Replied 1 year ago

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    In ฮ”PQR, PR < PQ + QRย 

    PR < 7 + 4

    PR < 11

    In ฮ”PSR, 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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