The coordinates are a(0,2) b(12,0) and c(-6,0). If cm is a median, find the coordinates of m.
To find the coordinates of point M, which is a median of triangle ABC, we need to find the midpoint of side BC (the side opposite to vertex A).
1. First, let's find the coordinates of point B and C:
- B has coordinates (12, 0)
- C has coordinates (-6, 0)
2. Next, we find the midpoint of BC by using the midpoint formula:
Midpoint coordinates = ((x₁ + x₂) / 2, (y₁ + y₂) / 2), where (x₁, y₁) and (x₂, y₂) are the coordinates of B and C, respectively.
Midpoint coordinates = ((12 + (-6)) / 2, (0 + 0) / 2)
= (6 / 2, 0)
= (3, 0)
So, the coordinates of the midpoint M are (3, 0).