Concept explainers
a.
To find : the equation of the three lines that contain that altitudes of
a.
Answer to Problem 38WE
The equation of the three lines
Explanation of Solution
Given information :
Formula used :
Calculation :
Let
Let
The slope of
Therefore,
The slope of
Therefore,
The slope of line
Therefore,
The equation of the line
Therefore, the equation of the line
The equation of the line
Therefore, the equation of the line
The equation of the line
Therefore, the equation of the line
Hence, the equation of the three lines
b.
To proof : the three altitudes meet in a point
b.
Answer to Problem 38WE
The three altitudes meet in a point
Explanation of Solution
Given information :
Calculation :
The equation of the line
The equation of the line
The equation of the line
From
Putting the value of
Putting the value of
Putting the value of
Hence, the three altitudes meet in a point
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McDougal Littell Jurgensen Geometry: Student Edition Geometry
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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