with side length of 
.
is selected on the diagonal 
such that 
.
as 
.
.
as 
respectively, compute the area of 
given the area of 
.
Y by Adventure10
3. Let ABC be a triangle, with an obtuse angle at A. Let Q be a point (other than A, B or C ) on the circumcircle of the triangle, on the same side of chord BC as A, and let P be the other end of the diameter through Q. Let V and W be the feet of the perpendiculars from Q onto CA and AB respectively. Prove that the triangles PBC and AWV are similar. [Note: the circumcircle of the triangle ABC is the circle which passes through the vertices A,B and C.]
Thanks for any contributions.
Thanks for any contributions.
is the center of the transformation 
.
is cyclic. Thus 
.
,
.
because they intercept the same arc so 
by AAA.
