weights, each weighing 
and another 
weights with 
each. Write a algorithm that determines the ways in which a scale can be balanced with a weight 
on the left pan, and display the number of possible solutions. (The weights can be placed on both pans and the program starts with the numbers 
.
with orthocenter 
.
to meet 
at 
.
meets the midpoint of 
.
,
.
with side length of 
.
such that 
.
as 
.
Y by Adventure10, Mango247, Mango247
Let 
be points on the same side of a line 
in the plane. Let 
and 
be the feet of the perpendiculars from 
and 
to respectively. Point 
lies between the lines 
and 
and satisfies and satisfies 
and 
. The perpendicular bisectors of 
and 
meet in a point 
. If the line 
intersects the circumcircle of triangle 
again at 
, prove that is the midpoint of 
.
be points on the same side of a line 
in the plane. Let 
and 
be the feet of the perpendiculars from 
and 
to respectively. Point 
lies between the lines 
and 
and satisfies and satisfies 
and 
. The perpendicular bisectors of 
and 
meet in a point 
. If the line 
intersects the circumcircle of triangle 
again at 
, prove that is the midpoint of 
.This post has been edited 2 times. Last edited by parmenides51, Aug 12, 2024, 6:38 AM
