to 
.
)
.
and 
,
is not less than the area of 
,
inequalities, these given comparisons satisfy the following three constraints:
and 
,
and 
respectively, then the sum of elements of the union 
is greater than that of 
.
that satisfies all these conditions?
Y by
Let 
be a triangle with 
right angle and 
is a point on the side 
such that 
is perpendicular to the side . Let 
and 
are the centers of the incircles of the triangles 
and 
respectively. Line 
intersects 
at 
and 
at 
. Prove that 
.
be a triangle with 
right angle and 
is a point on the side 
such that 
is perpendicular to the side . Let 
and 
are the centers of the incircles of the triangles 
and 
respectively. Line 
intersects 
at 
and 
at 
. Prove that 
.This post has been edited 3 times. Last edited by parmenides51, Dec 16, 2022, 1:20 AM
