1987 AHSME Problems/Problem 30
Problem
In the figure, 
has 
and 
. A line 
, with 
on 
and 
, divides into two pieces of equal area.
(Note: the figure may not be accurate; perhaps 
is on 
instead of 
The ratio 
is
![[asy] size((220)); draw((0,0)--(20,0)--(7,6)--cycle); draw((6,6)--(10,-1)); label("A", (0,0), W); label("B", (20,0), E); label("C", (7,6), NE); label("D", (9.5,-1), W); label("E", (5.9, 6.1), SW); label("$45^{\circ}$", (2.5,.5)); label("$60^{\circ}$", (7.8,.5)); label("$30^{\circ}$", (16.5,.5)); [/asy]](http://latex.artofproblemsolving.com/1/3/5/135a648963b48464cdd989019e3de4847a416079.png)
![$\textbf{(A)}\ \frac{1}{\sqrt{2}} \qquad \textbf{(B)}\ \frac{2}{2+\sqrt{2}} \qquad \textbf{(C)}\ \frac{1}{\sqrt{3}} \qquad \textbf{(D)}\ \frac{1}{\sqrt[3]{6}}\qquad \textbf{(E)}\ \frac{1}{\sqrt[4]{12}}$](http://latex.artofproblemsolving.com/0/5/5/0552faf8dc8fb3fefe89900cae35dfc47f52ce06.png)
See also
| 1987 AHSME (Problems • Answer Key • Resources) | ||
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