## Elementary Geometry for College Students (6th Edition)

These are similar triangles, for they have three congruent angles. Thus, the median is parallel to the base of the triangle. We call the length of the base 2a, and we call the peak of the triangle $(2b,2c)$. Thus, the median's length is: $=c-a-c=a$. Half of the base is: $=a$. Thus, the median is parallel to the base and has half the length of the base.