# 5-3 - Mediansand andAltitudes Altitudesof Triangles 5-3...

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Holt Geometry 5-3 Medians and Altitudes of Triangles 5-3 Medians and Altitudes of Triangles Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz

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Holt Geometry 5-3 Medians and Altitudes of Triangles Warm Up 1. What is the name of the point where the angle bisectors of a triangle intersect? Find the midpoint of the segment with the given endpoints. 2. (–1, 6) and (3, 0) 3. ( 7, 2) and (–3, –8) 4. Write an equation of the line containing the points ( 3, 1 ) and ( 2, 10 ) in point-slope form. incenter (–5, –3) y – 1 = –9( x – 3) (1, 3)
Holt Geometry 5-3 Medians and Altitudes of Triangles Apply properties of medians of a triangle. Apply properties of altitudes of a triangle. Objectives

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Holt Geometry 5-3 Medians and Altitudes of Triangles median of a triangle centroid of a triangle altitude of a triangle orthocenter of a triangle Vocabulary
Holt Geometry 5-3 Medians and Altitudes of Triangles A median of a triangle is a segment whose endpoints are a vertex of the triangle and the midpoint of the opposite side. Every triangle has three medians, and the medians are concurrent.

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Holt Geometry 5-3 Medians and Altitudes of Triangles The point of concurrency of the medians of a triangle is the centroid of the triangle . The centroid is always inside the triangle. The centroid is also called the center of gravity because it is the point where a triangular region will balance.
Holt Geometry 5-3 Medians and Altitudes of Triangles Example 1A: Using the Centroid to Find Segment Lengths In ∆ LMN , RL = 21 and SQ =4.

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