Circumcenter of a Triangle
How to find the circumcenter of a triangle: definition, properties, example, and its solution.
The circumcenter of a triangle
is the center of the circle
that circumscribes the triangle.
between the circumcenter and each vertex
are the same.
Three perpendicular bisectors of the triangle's sides
meet at the circumcenter.
It says point O is the circumcenter.
So OM is the perpendicular bisector of BC.
So BM = MC.
It's a right triangle.
And starting from the shortest side,
the sides are (3, BM, 5).
So △OBM is a (3, 4, 5) right triangle.
So BM = 4.
BM = 4
And BM = MC.
So MC is also 4.
So BC = 4 + 4