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Geomtery challenge

Geomtery challenge

Posers and Puzzles

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http://www.2send.us/uploads/83274a0143.gif

AB and AC are tangents to the circle. Prove that BKC is a straight line. No trigonometry please!

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Originally posted by David113
http://www.2send.us/uploads/83274a0143.gif

AB and AC are tangents to the circle. Prove that BKC is a straight line. No trigonometry please!
This geometry puzzle is really tough. Without using trigonometry and trigonometrical properties of triangles, it cannot possibly be solved.

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I presume he means without using trig functions. Of course you wil have to use properties if triangles to solve .... wont you?!??! 😕

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This is a "mystic hexagon" and is part of Pascal's Theorem. I was reading about this today. "Men of Mathematics" E. Bell

I've read it like 10 times

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Originally posted by wolfgang59
I presume he means without using trig functions. Of course you wil have to use properties if triangles to solve .... wont you?!??! 😕
yeah...you guessed right.