See Regular Tetrahedron 1234.
Construct an equilateral triangle such that its vertices and circumcentre are (in any order) 1,2,3, and 4 units from the origin.
What is the length of a side of the triangle?
(In reply to
Looks good, but accurate? by brianjn)
Looking more closely at my drawing I see some precision factors which are likely due to integer drawing settings.
It is looking like I'd have to attempt to solve my dilemma with Co-ord Geom methods and algebraic simultaneous equations. I think I could there but I'm going to rest upon the draft of the previous comment as my unproven solution!
I've returned here with a few calculated values done in Excel.
The first was for the length AB:
3.737462637
The length of AC was assumed as being identical to AB.
Using the co-ords calculated for point B and C the length of BC was:
3.789126102.
For me the discrepancy of .052.... is the the way I used Excel and the way Excel handled my data and calculations.
Edited on March 30, 2012, 2:31 am
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Posted by brianjn
on 2012-03-25 00:49:16 |
No Maths
