A geometry problem by Subham Subian

Geometry Level pending

If S X , S Y , S Z SX,SY,SZ are the perpendiculars dropped on the sides B C , C A , A B BC,CA,AB of a triangle A B C ABC from its circumcenter S S , Find the relationship between S X SX in terms on the circumradius R R of the triangle A B C ABC .

R ( S X ) ( S Y ) ( S Z ) R(SX)(SY)(SZ) None of these choices cos B / A B \cos B/AB R cos A R\cos A

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