9 Three farmhouses are to be powered by wind. The farms are located at A(60,20), B(220, 120) and C(240,40), where the coordinates are in metres. A wind turbine is to be placed at the point equidistant from the farms A, B and C. Find: al the equation of the line (AB) li the midpoint of line segment [AB] i the equation of the perpendicular bisector of line segment [AB] bl the equation of the line (AC) il the midpoint of line segment [AC] ii the equation of the perpendicular bisector of line segment [AC] Ci the equation of the line (BC) ii the midpoint of line segment [BC] ii the equation of the perpendicular bisector of line segment [BC].

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
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9 Three farmhouses are to be powered by
wind. The farms are located at A(60, 20),
B(220, 120) and C(240,40), where the
coordinates are in metres. A wind turbine
is to be placed at the point equidistant
from the farms A, B and C. Find:
ai the equation of the line (AB)
ii the midpoint of line segment [AB]
ii the equation of the perpendicular
bisector of line segment [AB]
bi the equation of the line (AC)
ii the midpoint of line segment [AC]
ii the equation of the perpendicular
bisector of line segment [AC]
Ci the equation of the line (BC)
ii the midpoint of line segment [BC]
ii the equation of the perpendicular
bisector of line segment [BC].
d Determine the coordinates of the point
T that is equidistant from the farms A,
B and C.
The blade of a wind turbine is 25 m long.
Current regulations require that the distance
between the turbine and a house be at least
three times the length of the blade.
e Determine whether the wind
turbine meets current regulations for
installation at point T.
f Determine the area that one wind
turbine needs to function. Give your
answer to the nearest integer.
Transcribed Image Text:9 Three farmhouses are to be powered by wind. The farms are located at A(60, 20), B(220, 120) and C(240,40), where the coordinates are in metres. A wind turbine is to be placed at the point equidistant from the farms A, B and C. Find: ai the equation of the line (AB) ii the midpoint of line segment [AB] ii the equation of the perpendicular bisector of line segment [AB] bi the equation of the line (AC) ii the midpoint of line segment [AC] ii the equation of the perpendicular bisector of line segment [AC] Ci the equation of the line (BC) ii the midpoint of line segment [BC] ii the equation of the perpendicular bisector of line segment [BC]. d Determine the coordinates of the point T that is equidistant from the farms A, B and C. The blade of a wind turbine is 25 m long. Current regulations require that the distance between the turbine and a house be at least three times the length of the blade. e Determine whether the wind turbine meets current regulations for installation at point T. f Determine the area that one wind turbine needs to function. Give your answer to the nearest integer.
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