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Geometric Construction Then Minimize Area
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Hi,
I'm working on a project and I have to find the minimum area of an equilateral triangle which has one vertex on each of the sides of a 3,4,5 right triangle.
How would I do this with geogebra?
Thanks
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Triangle équilatéral circonscrit à un triangle 3,4 et 5 ?
oder allgemein?
moving mm in attached you can see that minimum is when one side of equilateral is over minimum side of 345 triangle
really the problem can be maximum
minimum=12.20652
maximum=,26.43376
Hi,
hmm, I think, that the equilateral triangle should be inside the 345triangle ...
Solution with CAS ≈ 1.36
a solution by using geometric construction (solution without CAS: 1.36189 )
Thanks mire2 could you explain what you are doing? Also how do u use CAS + geometry? is that online CAS or not? cuz when I do online CAS, I cant make segments and stuff
Salut,
I hope the attached file explains it better.
Main Idea:
Starting from a point P=(p,0) and finding points with equal distances.
Minimizing this distance
That's it.
Great Job accomplished. 😎
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