with side length of 
.
is selected on the diagonal 
such that 
.
as 
.
.
as 
respectively, compute the area of 
given the area of 
.
.
lies inside the rectangle such that 
is equilateral. Given that 
and the midpoint of 
are on the same line, compute the length of 
.
Y by
The vertices of a cyclic quadrilateral are connected by segments with some point inside it, thus the quadrilateral is divided into 
triangles. One of these triangles is known to be equilateral, the second is isosceles (not equilateral), and the other two are right . Prove that the right triangles are congruent.
(Usov S.V.)
triangles. One of these triangles is known to be equilateral, the second is isosceles (not equilateral), and the other two are right . Prove that the right triangles are congruent.(Usov S.V.)
This post has been edited 2 times. Last edited by parmenides51, Apr 9, 2021, 5:11 PM
