Example / L(--1,0), M(3,7), and N(5,-2) are the mid-point of the sides BC, CA, and AB respectively of the triangle ABC. Find the equation of AB ans, 4y = 7x -43

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.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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Example / L(-1,0), M(3,7), and N(5,-2) are the mid-point of the sides BC, CA, and
AB respectively of the triangle ABC. Find the equation of AB
ans. 4y = 7x – 43
Example / Find the equation of the lines which pass through the point of intersection of the lines
x-3y = 4 and 3x + y = 2 and are respectively parallel and perpendicular to the line 3x + 4y
%3D
%3D
ans. 4y + 3x =-1
3y-4x =-7
Example / The coordinates at the vertices A,B, and C of the triangle ABC are (-3,7), (2,19),
and (10,7) respectively. Calculate the length of the perpendicular from B to AC, and use it to
find the area of the triangle?
ans. 12.78
Transcribed Image Text:Example / L(-1,0), M(3,7), and N(5,-2) are the mid-point of the sides BC, CA, and AB respectively of the triangle ABC. Find the equation of AB ans. 4y = 7x – 43 Example / Find the equation of the lines which pass through the point of intersection of the lines x-3y = 4 and 3x + y = 2 and are respectively parallel and perpendicular to the line 3x + 4y %3D %3D ans. 4y + 3x =-1 3y-4x =-7 Example / The coordinates at the vertices A,B, and C of the triangle ABC are (-3,7), (2,19), and (10,7) respectively. Calculate the length of the perpendicular from B to AC, and use it to find the area of the triangle? ans. 12.78
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