Points A (9.7) B (6, -1) C (4.9) are the vertices of the triangle ABC. Find the length of the median to the BC side.

Given:
A (9.7), B (6, -1), C (4.9)
ABC is a triangle.
To find:
The length of the median drawn to the BC side.

Decision:
Let’s imagine the BC side as a vector.
Find the coordinates of point O – the middle of the BC side:
(6-4) / 2 + 4 = 5
9- (9 – (- 1)) / 2 = 4
O (5; 4)
Find the length of AO (by the Pythagorean theorem):
AO = √ ((9-5) ^ 2 + (7-4) ^ 2) = √ (16 + 9) = √25 = 5.