1957 AHSME Problems/Problem 49
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Problem
The parallel sides of a trapezoid are 
and 
. The non-parallel sides are 
and 
.
A line parallel to the bases divides the trapezoid into two trapezoids of equal perimeters.
The ratio in which each of the non-parallel sides is divided is:
![[asy] defaultpen(linewidth(.8pt)); unitsize(2cm); pair A = origin; pair B = (2.25,0); pair C = (2,1); pair D = (1,1); pair E = waypoint(A--D,0.25); pair F = waypoint(B--C,0.25); draw(A--B--C--D--cycle); draw(E--F); label("6",midpoint(A--D),NW); label("3",midpoint(C--D),N); label("4",midpoint(C--B),NE); label("9",midpoint(A--B),S);[/asy]](http://latex.artofproblemsolving.com/c/7/1/c716d6808f8fb04048eba7fb079075839d94c570.png)
Solution
.
See Also
| 1957 AHSC (Problems • Answer Key • Resources) | ||
| Preceded by Problem 48 |
Followed by Problem 50 | |
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