with side length of 
.
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 Adventure10, Mango247
Find all 2 digit positive integers 
for which the sum of the digits of the 
is divisible by 
.
Circle
lies inside circle 
and touches it at 
. From a point 
(distinct from ) on , chords 
and 
of are drawn toucing at 
and 
respectively. Show that 
.
for which the sum of the digits of the 
is divisible by 
.Circle
lies inside circle 
and touches it at 
. From a point 
(distinct from ) on , chords 
and 
of are drawn toucing at 
and 
respectively. Show that 
.
,
,
.
:
,
.
from our last case, we see that if we increase a by 2 and decrease b by 1, the digit sum will still be divisible by 170. Therefore the pairs a=5, b=8; a=7, b=7; and a=9, b=6 also give digit sums divisible by 170.
and 
(periferial and inscribed angles). 
.
is inscribed 
