Find the angle

Geometry Level pending

Let S S denote the circumcentre of △ A B C \triangle ABC and D , E , F D,E,F are the feet of the altitudes of △ A B C \triangle ABC from A , B , C A,B,C respectively. Let S B SB intersect D F DF at K K . Find ∠ B K F \angle BKF .


The answer is 90.

Vilakshan Gupta by Vilakshan Gupta , 19, India

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1 solution

Note that Δ B A C ∼ − Δ B F D \Delta BAC \stackrel{-}{\sim} \Delta BFD Thus, the B − B- altitude in Δ B F D ≡ S B . . . . . . . . \Delta BFD \equiv SB........

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