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Mathematics
Mathematics
Problem
Consider the points
A
(
1
,
2
)
A(1,2)
A
(
1
,
2
)
,
B
(
4
,
6
)
B(4,6)
B
(
4
,
6
)
and
C
(
7
,
10
)
C(7,10)
C
(
7
,
10
)
. a. (i) Calculate the area of triangle
A
B
C
ABC
A
B
C
. b. (ii) Using your result, prove that the three points are collinear. c. (iii) Determine the ratio in which point
B
B
B
divides the segment
A
C
AC
A
C
.
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