Question 42
In the isosceles triangle $ABC$ let $D$ be the foot of the altitude from $C$ to the base $AB$. Calculate the length of the segment that connects the midpoint of $AD$ and the midpoint of $AC$ if it is known that the perimeter of triangle $ABC$ is $36\,\text{cm}$ and the perimeter of triangle $ADC$ is $29\,\text{cm}$.