In the ABC triangle, it is known that AC = 32, BM is the median, BM = 23. Find AM-?

Given:
ABC – triangle,
CA = 32,
ВM = 23,
ВM is the median.
Find the length of AM -?
Decision:
Consider a triangle ABC. We know that ВM is the median drawn to the AC side. By definition, the median divides the side to which it is drawn in half. Hence:
AM = 1/2 * AC (substitute the number 32 instead of AC, we are given this in the problem statement);
AM = 1/2 * 32;
AM = (1 * 32) / 2;
AM = (1 * 16) / 1;
AM = 16/1;
AM = 16.
Answer: length AM = 16.