Orthocenter. In GeoGebra, construct a triangle ABC and the orthocenter H. Move the vertices A, B, C around and observe possible locations for the orthocenter. For each of the following questions, take a screenshot and write a sentence with your conjecture. a. For what shape of triangles is the orthocenter outside the triangle? b. For what shape of triangles is the orthocenter on a vertex of the triangle? c. For what shape of triangles is the orthocenter inside the triangle?

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter4: Quadrilaterals
Section4.3: The Rectangle, Square, And Rhombus
Problem 42E: a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three...
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Orthocenter. In GeoGebra, construct a triangle ABC and the orthocenter H. Move the vertices A, B, C around and observe
possible locations for the orthocenter. For each of the following questions, take a screenshot and write a sentence with your
conjecture.
a. For what shape of triangles is the orthocenter outside the triangle?
b. For what shape of triangles is the orthocenter on a vertex of the triangle?
c. For what shape of triangles is the orthocenter inside the triangle?
Transcribed Image Text:Orthocenter. In GeoGebra, construct a triangle ABC and the orthocenter H. Move the vertices A, B, C around and observe possible locations for the orthocenter. For each of the following questions, take a screenshot and write a sentence with your conjecture. a. For what shape of triangles is the orthocenter outside the triangle? b. For what shape of triangles is the orthocenter on a vertex of the triangle? c. For what shape of triangles is the orthocenter inside the triangle?
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