Find the median of triangle ABC drawn to side AB (without using the ready-made formula for the median) a = 11 b = 13 c = 18

Given that the median is drawn to side AB, it can be understood that the median divides side C in half, since sides a and b lie opposite vertices A and B.
Let’s denote the median by m, and the half of the base, which was divided by the median by e = 18: 2 = 9.
Since the median is the perpendicular to the base, the triangle was divided into two right-angled triangles, from here we can find the median from the Pythagorean theorem:
m = √a ^ 2-e ^ 2 = √121-81 = √40 = 2√10 (cm)
If the answer can be given inaccurate and rounded to the nearest hundredth, then:
2√10 = 6.32 (cm)