COMC 2011 Problem 7
Source:
November 4, 2012
Pythagorean Theoremgeometry
Problem Statement
In the figure, BC is a diameter of the circle, where , and . If , what is the value of x?
[asy]size(2inch);
pair O,A,B,C,D,E;
B=(0,0);
O=(2,0);
C=(4,0);
D=(.333,1.333);
A=(.75,2.67);
E=(1.8,2);
draw(Arc(O,2,0,360));
draw(B--C--A--B);
label("",A,N);
label("",B,W);
label("",C,E);
label("",D,W);
label("",E,N);
label("Figure not drawn to scale",(2,-2.5),S);
[/asy]