EGsxMi5vcmc_Exercise_.. 1 / 2 100 Exercise 4J 1 In a town three schools A, B and C are located at the points with coordinates A(1,3), B(6,4) and C(6, 1). It is decided that a new school should be built as close as possible to a point which is farthest from all three existing schools. All coordinates are in km. 2 a Explain why this point will be at the intersection of the perpendicular bisectors gments [AB], [BC] and [AC]. b Find the equations of the perpendicular bisectors of line segments [AB] and [BCJ. c Hence find the coordinates of the point where the new school should be built. of line d Determine how far the new school will be from each of the other schools. 10 8 4 3 2 1.
EGsxMi5vcmc_Exercise_.. 1 / 2 100 Exercise 4J 1 In a town three schools A, B and C are located at the points with coordinates A(1,3), B(6,4) and C(6, 1). It is decided that a new school should be built as close as possible to a point which is farthest from all three existing schools. All coordinates are in km. 2 a Explain why this point will be at the intersection of the perpendicular bisectors gments [AB], [BC] and [AC]. b Find the equations of the perpendicular bisectors of line segments [AB] and [BCJ. c Hence find the coordinates of the point where the new school should be built. of line d Determine how far the new school will be from each of the other schools. 10 8 4 3 2 1.
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
SectionP.CT: Test
Problem 1CT
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I need help with these questions about voronoi diagram
![/k gk sch_bWljaGFlbC5hcm1zdHJvbmdAc291dGhmaWVsZGsxMi5vcmc_Exercise 4J.pdf
ZGsxMi5vcmc_Exercise..
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Exercise 4J
2 At a fair there are three hamburger stands,
A, B and C. The fairground is in the shape
of a rectangle with dimensions 100m by
50m. The bottom-left corner of the field
can be regarded as the origin of a coordinate
system, with the diagonally opposite corner
as (100, 50). The hamburger stands are at
the points A(20, 30), B(80, 30) and C(40, 10).
a Find the equations of the perpendicular
bisectors of:
1 In a town three schools A, B and C are
located at the points with coordinates
A(1,3), B(6,4) and C(6, 1).
It is decided that a new school should be
built as close as possible to a point which is
farthest from all three existing schools.
All coordinates are in km.
a Explain why this point will be at the
intersection of the perpendicular bisectors
of line segments [AB], [BC] and [AC].
b Find the equations of the perpendicular
bisectors of line segments [AB] and [BC].
C Hence find the coordinates of the point
where the new school should be built.
I A and C
ii
B and C.
People will always go to the hamburger
stand that is closest to them.
b Draw the Voronoi diagram that
represents this situation.
d Determine how far the new school will
be from each of the other schools.
10
10
5.
3.
3
2
2
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Transcribed Image Text:/k gk sch_bWljaGFlbC5hcm1zdHJvbmdAc291dGhmaWVsZGsxMi5vcmc_Exercise 4J.pdf
ZGsxMi5vcmc_Exercise..
1 / 2
100%
+
Exercise 4J
2 At a fair there are three hamburger stands,
A, B and C. The fairground is in the shape
of a rectangle with dimensions 100m by
50m. The bottom-left corner of the field
can be regarded as the origin of a coordinate
system, with the diagonally opposite corner
as (100, 50). The hamburger stands are at
the points A(20, 30), B(80, 30) and C(40, 10).
a Find the equations of the perpendicular
bisectors of:
1 In a town three schools A, B and C are
located at the points with coordinates
A(1,3), B(6,4) and C(6, 1).
It is decided that a new school should be
built as close as possible to a point which is
farthest from all three existing schools.
All coordinates are in km.
a Explain why this point will be at the
intersection of the perpendicular bisectors
of line segments [AB], [BC] and [AC].
b Find the equations of the perpendicular
bisectors of line segments [AB] and [BC].
C Hence find the coordinates of the point
where the new school should be built.
I A and C
ii
B and C.
People will always go to the hamburger
stand that is closest to them.
b Draw the Voronoi diagram that
represents this situation.
d Determine how far the new school will
be from each of the other schools.
10
10
5.
3.
3
2
2
O LO
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