SOLUTION: Given triangle ABC with vertices A(−3, 0), B(0, 6), and C(4, 6). a. Find the equations of the three medians of triangle ABC b. Find the equations of the three altitudes of th

Question 1145507: Given triangle ABC with vertices A(−3, 0), B(0, 6), and C(4, 6).
a. Find the equations of the three medians of triangle ABC
b. Find the equations of the three altitudes of the same triangle
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Given triangle ABC with vertices A(−3, 0), B(0, 6), and C(4, 6).
a. Find the equations of the three medians of triangle ABC
Step 1, find the midpoints of the 3 line segments.
Step 2, find the equations of the 3 lines:
A to the midpoint of BC
B to the midpoint of AC
C to the midpoint of AB
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b. Find the equations of the three altitudes of the same triangle
Find the equations of the lines perpendicular to the AB, AC and BC thru the point C, B and A respectively.
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It's tedious and repetitious, but you get practice on how to do it.
I don't need the practice.
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