To find the coordinates of the orthocenter of the
Answer to Problem 10STP
Explanation of Solution
Given:
The given triangle is-
Calculation:
From the figure, the following are the vertices of the triangle
For finding the orthocenter, find the intersection point of two altitudes as follows-
Finding the equation of the altitude from Y to XZ.
Finding the equation of the altitude from X to YZ.
Solving the above two equations-
Substituting the value of
Therefore the orthocenter is
Chapter 5 Solutions
Geometry, Student Edition
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- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning