and 
for 
.
.
for which 
is divisible by 
.
is divisible by 
satisfy,
Where 
}
be a fixed square and 
a variable point on segment 
.
is constructed such that 
and 
is on segment 
.
be the intersection point of lines 
and 
.
be a function taking in positive integers and outputting nonnegative integers, defined as follows:
is the number of positive integers 
with 
such that the equation 
has an integer solution 
.
such tha
Adit Aggarwal, India.
Y by
Let 
be a square and let 
be a right triangle constructed externally on the side 
as hypotenuse. The sides 
and 
are extended to meet the line 
at 
and 
, respectively. Denote by 
the intersection point of segments 
and 
, and by 
, the intersection point of 
and 
. Prove that 
is an isosceles triangle.
(Stan Fulger)
be a square and let 
be a right triangle constructed externally on the side 
as hypotenuse. The sides 
and 
are extended to meet the line 
at 
and 
, respectively. Denote by 
the intersection point of segments 
and 
, and by 
, the intersection point of 
and 
. Prove that 
is an isosceles triangle.(Stan Fulger)
This post has been edited 1 time. Last edited by parmenides51, Mar 12, 2021, 8:35 PM
