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Proving the theorem (Appolonius) for the triangle ABC where . . . .

by thagamizer
Tags: appolonius, proving, theorem, triangle
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thagamizer
#1
Jun18-07, 05:56 AM
P: 5
Prove the theorem (Appolonius) for the triangle ABC where A, B, C are the respective points (-a,0), (a,0), (b,C) on the cartesian plane.

Would i do this using vectors in component form otherwise i have no idea how to do it?
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mathwonk
#2
Jun18-07, 11:57 AM
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P: 9,453
what does the theorem say?
thagamizer
#3
Jun18-07, 05:41 PM
P: 5
a^2 + b^2= 2(1/2 c)^2 + 2d^2

where d is the median intersecting c


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