Which point of concurrency in a triangle is the point of intersection of the three altitudes of a triangle?
You can read all about the orthocentre here:
http://en.wikipedia.org/wiki/Altitude_(triangle)
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The point of concurrency in a triangle that is the intersection of the three altitudes is called the orthocenter. To find the orthocenter of a triangle, you need to follow these steps:
1. Draw a triangle.
2. Construct the altitudes of the triangle by extending each side of the triangle at a right angle until it intersects with the opposite side.
3. The point where all three altitudes intersect is the orthocenter.
Note that an altitude is a line segment from a vertex of the triangle to the opposite side, perpendicular to that side.
Finding the orthocenter using the altitudes is one of the ways to locate this point of concurrency in a triangle. Other points of concurrency in a triangle are the circumcenter (intersection of perpendicular bisectors of the sides), the incenter (intersection of angle bisectors), and the centroid (intersection of medians).