How to find the equation of a median of a triangle

C: (8.00, 8.00)

B: (6.00, 2.00)A: (-5.00, 2.00)

A

B

C

Find the equation of median AM

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

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)

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

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