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
The acute triangle 
, where 
, is cicrumscribed by a circle with center 
. Let 
be the intersection point of 
and 
, and point 
be the center of the circumscribed circle of triangle 
. Prove that the area of the quadrilateral 
is equal to the area of the triangle .
, where 
, is cicrumscribed by a circle with center 
. Let 
be the intersection point of 
and 
, and point 
be the center of the circumscribed circle of triangle 
. Prove that the area of the quadrilateral 
is equal to the area of the triangle .This post has been edited 2 times. Last edited by parmenides51, Dec 15, 2022, 9:06 PM
