How to find the equation of a median of a triangle.
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Transcript of How to find the equation of a median of a triangle.
![Page 1: How to find the equation of a median of a triangle.](https://reader036.fdocuments.us/reader036/viewer/2022082711/56649f0d5503460f94c2109c/html5/thumbnails/1.jpg)
How to find the equation of a median of a triangle
![Page 2: How to find the equation of a median of a triangle.](https://reader036.fdocuments.us/reader036/viewer/2022082711/56649f0d5503460f94c2109c/html5/thumbnails/2.jpg)
C: (8.00, 8.00)
B: (6.00, 2.00)A: (-5.00, 2.00)
A
B
C
Find the equation of median AM
![Page 3: How to find the equation of a median of a triangle.](https://reader036.fdocuments.us/reader036/viewer/2022082711/56649f0d5503460f94c2109c/html5/thumbnails/3.jpg)
C: (8.00, 8.00)
B: (6.00, 2.00)A: (-5.00, 2.00)
A
B
C
Find the equation of median AM
1. Sketch median from A to BC.
M
![Page 4: How to find the equation of a median of a triangle.](https://reader036.fdocuments.us/reader036/viewer/2022082711/56649f0d5503460f94c2109c/html5/thumbnails/4.jpg)
C: (8.00, 8.00)
B: (6.00, 2.00)A: (-5.00, 2.00)
A
B
C
Find the equation of median AM
1. Sketch median from A to BC.
M
2. Calculate midpoint of opposite side (BC)
1 2 1 2 6 8 2 8, , 7,5
2 2 2 2
x x y yM
(7,5)
![Page 5: How to find the equation of a median of a triangle.](https://reader036.fdocuments.us/reader036/viewer/2022082711/56649f0d5503460f94c2109c/html5/thumbnails/5.jpg)
C: (8.00, 8.00)
B: (6.00, 2.00)A: (-5.00, 2.00)
A
B
C
Find the equation of median AM
1. Sketch median from A to BC.
M
2. Calculate midpoint of opposite side (BC)
1 2 1 2 6 8 2 8, , 7,5
2 2 2 2
x x y yM
(7,5)3. Calculate slope of AM
2 1
2 1
5 2 3 1
7 ( 5) 12 4
y y
x x
![Page 6: How to find the equation of a median of a triangle.](https://reader036.fdocuments.us/reader036/viewer/2022082711/56649f0d5503460f94c2109c/html5/thumbnails/6.jpg)
C: (8.00, 8.00)
B: (6.00, 2.00)A: (-5.00, 2.00)
A
B
C
Find the equation of median AM
1. Sketch median from A to BC.
M
2. Calculate midpoint of opposite side (BC)
1 2 1 2 6 8 2 8, , 7,5
2 2 2 2
x x y yM
(7,5)3. Calculate slope of AM
2 1
2 1
5 2 3 1
7 ( 5) 12 4
y y
x x
4. Find the y-intercept by plugging in a point on the line.
1
4
y mx b
y x b
15 (7)
413
4
b
b
1 13
4 4y x