Difference between revisions of "1995 AHSME Problems/Problem 8"
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==See also== | ==See also== | ||
| + | {{AHSME box|year=1995|num-b=7|num-a=9}} | ||
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| + | [[Category:Introductory Geometry Problems]] | ||
Revision as of 11:06, 29 April 2008
Problem
In 
, 
and 
. Points 
and 
are on 
and 
, respectively, and 
. If 
, then 
Solution
![[asy] size(120); defaultpen(0.7); pair A = (0,6), B = (8,0), C= (0,0), D = (56/15,3.2), E = (4/3,0), F = (0, 3), G = (38/15,1.6); draw(A--B--E--D--E--B--C--A--B--cycle); label("\(A\)",A,W); label("\(B\)",B,E); label("\(C\)",C,SW); label("\(D\)",D,NE); label("\(E\)",E,S); label("\(6\)",F,W); label("\(4\)",G,NW); [/asy]](http://latex.artofproblemsolving.com/f/7/9/f795eed1cca01d65d633973ae1354924659b752e.png)
Since 
is similar to , it is a 3-4-5 triangle, and thus 
.
See also
| 1995 AHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 7 |
Followed by Problem 9 | |
| 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 | ||
| All AHSME Problems and Solutions | ||
