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16+ Circumcenter Of An Obtuse Triangle Full

16+ Circumcenter Of An Obtuse Triangle
Full
. It lies inside for an acute, outside for an obtuse method to calculate the circumcenter of a triangle. One way of determining the circumcenter and orthocenter for any triangle, obtuse or not, is by using vectors and matrices.

Triangle Centers
Triangle Centers from jwilson.coe.uga.edu
All triangles are cyclic, i.e. If your triangle is defined on the coordinate plane, first use the slope formula to determine the slope of the lines containing two of the side segments. Blackburn shows her class how to find the circumcenter of an obtuse triangle.

In an obtuse angled triangle, the orthocenter lies outside the triangle.

The formula follows from applying simple trigonometry to this triangle. The circumcenter of the obtuse angled triangle lies outside the triangle. From the sine theorem, the same value of r will be found from all three sides. One way of determining the circumcenter and orthocenter for any triangle, obtuse or not, is by using vectors and matrices.


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