Difference between revisions of "1959 AHSME Problems"

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==Problem 22==
 
==Problem 22==
The line joining the midpoints of the diagonals of a trapezoid has length 3. If the longer side base is 97, then the shorter base is ... (94, 92, 91, 90, or 89)  
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The line joining the midpoints of the diagonals of a trapezoid has length 3. If the longer side base is 97, then the shorter base is
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<math> \mathrm{(A) \ 89 } \qquad \mathrm{(B) \ 90 } \qquad \mathrm{(C) \ 91 } \qquad \mathrm{(D) \ 92 } \qquad \mathrm{(E) \ 94 }  </math>
  
 
[[1959 AHSME Problems/Problem 22|Solution]]
 
[[1959 AHSME Problems/Problem 22|Solution]]

Revision as of 11:09, 13 January 2008

Problem 22

The line joining the midpoints of the diagonals of a trapezoid has length 3. If the longer side base is 97, then the shorter base is

$\mathrm{(A) \ 89 } \qquad \mathrm{(B) \ 90 } \qquad \mathrm{(C) \ 91 } \qquad \mathrm{(D) \ 92 } \qquad \mathrm{(E) \ 94 }$

Solution