Geomtery challenge

David113

Posers and Puzzles

19 Oct 07

David113

Joined: 25 Aug 06
Moves: 0

19 Oct 07

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!

sarathian

Joined: 25 Jul 04
Moves: 3205

19 Oct 07

1 edit

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.

wolfgang59

Quiz Master

RHP Arms

Joined: 09 Jun 07
Moves: 48794

19 Oct 07

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

Gastel

B is for bye bye

Joined: 09 Apr 06
Moves: 27526

20 Oct 07

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

sarathian

Joined: 25 Jul 04
Moves: 3205

20 Oct 07

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.