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Pearson Geometry Common Core, 2011

PG

Pearson Geometry Common Core, 2011 View details

Chapter Test

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Exercise 4 Page 345

The orthocenter describes the point of concurrency for the lines containing the altitudes of a triangle.

(5,3)

Practice makes perfect

We want to determine where the orthocenter lies and then find its exact location. Let's take care of these tasks one at a time. Let's begin by drawing the triangle using the given coordinates.

Notice that BC is vertical and AC is horizontal. This means that ∠ C is a right angle. Therefore, △ ABC is an right triangle and the orthocenter P lies exactly on the vertex of its right angle, point C. The coordinates of the orthocenter are (5,3).