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

We say that one corner of the triangle is at the origin, the base is of length a, and the two congruent sides are of length 2b. Thus: $a^2 + b^2 = (d_1)^2$ $a^2 + b^2 = (d_2)^2$ It follows: $(d_2)^2=(d_1)^2 \\ d_2=d_1$ Hence, the medians have equal lengths.