1997 AHSME Problems/Problem 15
Revision as of 08:44, 9 August 2011 by Talkinaway (talk | contribs) (Created page with "==Problem== Medians <math>BD</math> and <math>AE</math> of triangle <math>ABC</math> are perpendicular, <math>BD=8</math>, and <math>CE=12</math>. The area of triangle <math>AB...")
Problem
Medians 
and 
of triangle 
are perpendicular, 
, and 
. The area of triangle is
[asy]
defaultpen(linewidth(.8pt));
dotfactor=4;
pair A = origin;
pair B = (1.25,1);
pair C = (2,0);
pair D = midpoint(A--C);
pair E = midpoint(A--B);
pair G = intersectionpoint(E--C,B--D);
dot(A);dot(B);dot(C);dot(D);dot(E);dot(G);
label("
",A,S);label("
",B,N);label("
",C,S);label("
",D,S);label("
",E,NW);label("
",G,NE);
draw(A--B--C--cycle);
draw(B--D);
draw(E--C);
draw(rightanglemark(C,G,D,3));[/asy]
