Isosceles Triangle  TOPIC_SOLVED

Geometric formulae, word problems, theorems and proofs, etc.

Isosceles Triangle

Postby Chasyesker on Mon Dec 16, 2013 4:08 pm

Need help with ...

Find all coordinate points A such that triangle ZAP in an isosceles triangle with base ZP where Z is the point (4/7,-9/4) and P is the point (7/2,1/11). No decimal answers which makes the soln(s) incredibly messy. I think there are two solns for A but not sure.
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Re: Isosceles Triangle  TOPIC_SOLVED

Postby buddy on Mon Dec 16, 2013 7:00 pm

Chasyesker wrote:Find all coordinate points A such that triangle ZAP in an isosceles triangle with base ZP where Z is the point (4/7,-9/4) and P is the point (7/2,1/11). No decimal answers which makes the soln(s) incredibly messy. I think there are two solns for A but not sure.

If you draw a line perp to ZP thru the midpoint of ZP then any point on that perp line would be A, because Z and P have to be equal distances from any point on the perp. So there isn't just one answer. (There'd be two answers if they told you something like "and the two same-length sides have to have length Q" or something, but I guess they didn't.)
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