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Mathematics
Mathematics
Problem
Three straight lines represented by the equations
3
x
−
4
y
+
5
=
0
3x - 4y + 5 = 0
3
x
−
4
y
+
5
=
0
,
4
x
+
3
y
−
10
=
0
4x + 3y - 10 = 0
4
x
+
3
y
−
10
=
0
, and
5
x
+
12
y
−
20
=
0
5x + 12y - 20 = 0
5
x
+
12
y
−
20
=
0
form a
△
A
B
C
\triangle ABC
△
A
B
C
. Determine the coordinates of the orthocenter of this triangle without calculating the vertices first.
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