My Math Forum Coordinates in Isosceles Triangle

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 February 1st, 2014, 06:44 PM #1 Newbie   Joined: Feb 2014 Posts: 2 Thanks: 0 Coordinates in Isosceles Triangle Hi, If I have an isosceles triangle ABC, where | AB | = | BC |, and I have given the coordinates of point B and point A and I have also given the length of the one side: | AB |, 1) how can I calculate the coordinates of point C? 2) In case if I know the length of all the sides, how can I calculate the coordinates of point C?
 February 1st, 2014, 09:16 PM #2 Global Moderator   Joined: Dec 2006 Posts: 20,937 Thanks: 2210 (1)  Insufficient information (2)  There are normally two possibilities for the location of C.
 February 1st, 2014, 09:46 PM #3 Newbie   Joined: Feb 2014 Posts: 2 Thanks: 0 Re: Coordinates in Isosceles Triangle Hi, Thank you for your reply Could you please explain how is C going to be in two positions?
 February 2nd, 2014, 05:52 AM #4 Global Moderator   Joined: Dec 2006 Posts: 20,937 Thanks: 2210 The second triangle is simply the reflection of the first in the line through the given vertices.

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