and 
,
cookies from one of the piles, of which he eats 
and puts 
for which Marica has a winning strategy.
be non-negative real numbers such that 
Prove that
Y by Adventure10, Mango247
Three points 
and 
are given that are, respectively, the circumcenter of a triangle 
, the mid-point of 
, and the foot of the altitude from 
on 
. Show how to reconstruct the triangle .
and 
are given that are, respectively, the circumcenter of a triangle 
, the mid-point of 
, and the foot of the altitude from 
on 
. Show how to reconstruct the triangle .
perpendicular to 
at 
and the circle 
that inersects 
.
intersects 
at 
.
