2006 iTest Problems/Problem U8
Revision as of 21:10, 17 November 2019 by Someonenumber011 (talk | contribs) (Created page with "==Problem== Let <math>T = TNFTPP</math>, and let <math>S</math> be the sum of the digits of <math>T</math>. Cyclic quadrilateral <math>ABCD</math> has side lengths <mat...")
Problem
Let , and let
be the sum of the digits of
. Cyclic quadrilateral
has side lengths
,
,
, and
. Let
and
be the midpoints of sides
and
. The diagonals
and
intersect
at
and
respectively.
can be expressed as
where
and
are relatively prime positive integers. Determine
.