2002 AMC 8 Problems/Problem 20
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The area of triangle 
is 8 square inches. Points 
and 
are midpoints of congruent segments 
and 
. Altitude 
bisects 
. What is the area (in square inches) of the shaded region?
[asy]
/* AMC8 2002 #20 Problem */
draw((0,0)--(10,0)--(5,4)--cycle);
draw((2.5,2)--(7.5,2));
draw((5,4)--(5,0));
fill((0,0)--(2.5,2)--(5,2)--(5,0)--cycle, mediumgrey);
label(scale(0.8)*"
", (5,4), N);
label(scale(0.8)*"
", (0,0), W);
label(scale(0.8)*"
", (10,0), E);
label(scale(0.8)*"", (2.5,2.2), W);
label(scale(0.8)*"", (7.5,2.2), E);
label(scale(0.8)*"
", (5,0), S);
fill((0,-.8)--(1,-.8)--(1,-.95)--cycle, white);[/asy]
