A discussion with examples.
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Ask Dr. Math
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A discussion of the various triangle centers, used to define the Euler line.
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Ask Dr. Math
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A PDF chapter with definitions and exercises on the following terms: concurrent lines, centroid, orthocenter, circumcenter, euler line.
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Calvin Educational Website
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A great site with exploration on altitudes, angle bisectors, median, and perpendicular bisectors. Has background information and an interactive example with follow up questions for each section.
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Triangle Centers from University of Illinois
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This site discusses the defintion of the centroid and median and gives the formulas for the lengths of the medians.
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VIAS Encyclopedia
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Colorful tutorial with diagrams, explanations and examples.
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A Gutierrez
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Describes in great detail the concepts of Median, Altitude, Angle Bisector, and Perpendicular Bisector of a triangle, and dicusses their concurrence at the Centroid, Orthocenter, Incenter, and Circumcenter. Also gives an overview of their placement on the Euler Line.
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Regents Exam Prep Center
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This website shows an animated demonstration for constructing the orthocenter of a triangle using only a compass and straightedge. It also includes step-by-step written instructions for this process.
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Math Open Reference
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This website shows an animated demonstration for constructing the circumcenter of a triangle, and thus the circumcirlce of the triangle, using only a compass and straightedge. It also includes step-by-step written instructions for this process.
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Math Open Reference
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This website shows a step-by-step demonstration for constructing the incenter of a triangle using only a compass and straightedge. It also includes step-by-step written instructions for this process.
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Math Open Reference
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