Difference between revisions of "1958 AHSME Problems/Problem 50"
(Created page with "== Problem == In this diagram a scheme is indicated for associating all the points of segment <math> \overline{AB}</math> with those of segment <math> \overline{A'B'}</math>, and...") |
Mathgeek2006 (talk | contribs) m (→Problem) |
||
Line 18: | Line 18: | ||
</asy> | </asy> | ||
− | <math> \textbf{(A)}\ 13a\qquad \textbf{(B)}\ 17a | + | <math> \textbf{(A)}\ 13a\qquad \textbf{(B)}\ 17a - 51\qquad \textbf{(C)}\ 17 - 3a\qquad \textbf{(D)}\ \frac {17 - 3a}{4}\qquad \textbf{(E)}\ 12a - 34</math> |
− | |||
== Solution == | == Solution == |
Latest revision as of 23:28, 13 March 2015
Problem
In this diagram a scheme is indicated for associating all the points of segment with those of segment , and reciprocally. To described this association scheme analytically, let be the distance from a point on to and let be the distance from the associated point of to . Then for any pair of associated points, if equals:
Solution
See Also
1958 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 49 |
Followed by Problem 50 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 • 31 • 32 • 33 • 34 • 35 • 36 • 37 • 38 • 39 • 40 • 41 • 42 • 43 • 44 • 45 • 46 • 47 • 48 • 49 • 50 | ||
All AHSME Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.