The lengths (in cm) of three sides of a triangle are, respectively, 48, 55 and 73. What is the length (in cm) of the median joining the mid-point of the longest side to its opposite vertex?

36.5

If the medians are in a Pythagorean triplet then, the length (in cm) of the median joining the mid-point of the longest side to its opposite vertex is half of the largest median.

Largest median = 73

Median joining the mid point of the longest side = \(\frac{73}{2}\) = 36.5