The coordinates of the triangle ABC are given. Find the median. A (0.1) B (6.4) C (3.5)

Since the segment CM is the median of the triangle ABC, the point M is the midpoint of the segment AB.

Let us find the abscissa x and the ordinate at the point M, respectively, as the half-sum of the abscissas and the half-sum of the ordinates of points A and B:

x = (0 + 6) / 2 = 6/2 = 3;

y = (1 + 4) / 2 = 5/2 = 2.5.

Knowing the coordinates of the ends of the CM segment, we can calculate its length using the formula for the distance between two points on the coordinate plane:

| CM | = √ ((3 – 3) ^ 2 + (3 – 2.5) ^ 2) = √ (0 ^ 2 + 0.5 ^ 2) = √ (0.5 ^ 2) = 0.5.

Answer: The length of the median CM is 0.5.