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McGraw Hill Glencoe Geometry, 2012

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McGraw Hill Glencoe Geometry, 2012 View details

2. Medians and Altitudes of Triangles

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Exercise 14 Page 340

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

$(5, - 1)$

Practice makes perfect

Let's begin by drawing the triangle using the given coordinates.

To find the location of the orthocenter, we need to recall two definitions.

The orthocenter describes the point of concurrency for the lines containing the altitudes of a triangle.
An altitude of a triangle is the perpendicular segment from a vertex to the opposite side of a triangle or to the line containing the opposite side.

Let's draw the altitudes of the vertices of our triangle.

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Subchapter links

Check Your Understanding p.339

H.O.T. Problems p.342

Standardized Test Practice p.343

Spiral Review p.343

Skills Review p.343