Ordered Points on a Line

Geometry Level 4

Let A,B,C,D,EA, B, C, D, E and FF be points on a line in that order such that AB=BC=CD=DE=EF=15AB=BC=CD=DE=EF = 15. Let Γ1 \Gamma_1 be the circle with center DD and radius CDCD, and let Γ2\Gamma_2 be the circle with center FF and radius EFEF. Let ll be the tangential line from AA to Γ2\Gamma_2. ll intersects Γ1\Gamma_1 at points XX and YY. What is the length of XYXY?

×

Problem Loading...

Note Loading...

Set Loading...