2) A study shed will be constructed midway between two school buildings. On a school map drawn on a coordinate plane, the
coordinates of the first building are (10, 30) and the coordinates of
the second building are (170,110).
a) Why do you think the study shed will be constructed midway
between the two school buildings?
b) What are the coordinates of the point where the study shed
will be constructed?
c) How far would the study shed be from each school building?
nonsense answers= REPORT
coordinates of the first building are (10, 30) and the coordinates of
the second building are (170,110).
a) Why do you think the study shed will be constructed midway
between the two school buildings?
b) What are the coordinates of the point where the study shed
will be constructed?
c) How far would the study shed be from each school building?
nonsense answers= REPORT
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Solution: Step 1. Solve for the midpoint between the two buildings:
M=x1+x2/2,y1+y2/2
=10+170/2,30+110/2
=180/2,140/2
=90,70
Step 2. Solve for the distance between the school canteen and the school building:
Use the midpoint coordinates 90,70 and any of the two building, say second building (170,110).
d=(x2 - x1^)2+ (y2 - y1)^2
=(170 - 90)^2+ (110 - 70)^2
=(80)^2+ (40)^2
=6400+ 1600
=8000
Since each unit on the coordinate plane is equal to 2m, then
d=89.442m=178.88m