Let ABCD be a parallelogram with area 15. Points P and Q are the pro- jections of A and C , respectively, onto line BD; and points R and S are the projections of B and D, respectively, onto line AC. See the figure, which also shows the relative locations of these points. R D A S Suppose PQ = 6 and RS longer diagonal of ABCD. Then d² can be written in the form m + n/p, where m, n, and p are positive integers and p is not divisible by the of any prime. What is m +n + p ? 8, and let d denote the length of BD, the %3D square (A) 81 (В) 89 (С) 97 (D) 105 (E) 113

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let ABCD be a parallelogram with area 15. Points P and Q are the pro-
jections of A and C , respectively, onto line BD; and points R and S are the
projections of B and D, respectively, onto line AC. See the figure, which
also shows the relative locations of these points.
R
D
B
S
Suppose PQ = 6 and RS
longer diagonal of ABCD. Then d² can be written in the form m + n /p,
where m, n, and p are positive integers and p is not divisible by the square
of any prime. What is m +n + p?
8, and let d denote the length of BD, the
=
(A) 81
(В) 89
(С) 97
(D) 105
(E) 113
Transcribed Image Text:Let ABCD be a parallelogram with area 15. Points P and Q are the pro- jections of A and C , respectively, onto line BD; and points R and S are the projections of B and D, respectively, onto line AC. See the figure, which also shows the relative locations of these points. R D B S Suppose PQ = 6 and RS longer diagonal of ABCD. Then d² can be written in the form m + n /p, where m, n, and p are positive integers and p is not divisible by the square of any prime. What is m +n + p? 8, and let d denote the length of BD, the = (A) 81 (В) 89 (С) 97 (D) 105 (E) 113
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