what is the fermat point of a triangle and its construction steps with proof
vedant baghel , 13 Years ago
Grade
Analytical Geometry> fermat point...
1 Answers
Aman Bansal
Last Activity: 13 Years ago
Dear Vedant,
In order to locate the Fermat point of a triangle with largest angle at most 120°:
An alternate method is the following:
- Construct two regular triangles out of any the three sides of the given triangle.
- For each new vertex of the regular triangle, draw a line from it to the opposite triangles vertex.
- The two lines intersect at the Fermat point.
An alternate method is the following:
- On any two of the three sides, construct two isosceles triangles, with base the side in question, 30-degree angles at the base, and vertices laying outside the original triangle.
- Draw two circles, each with center on the vertex of the just constructed isosceles triangles and radius the identical side of the isosceles triangles.
- The intersection inside the original triangle between the two circles is the Fermat point.
Best Of Luck...!!!!
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