Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10:
ISBN 13:

Chapter 10 - Review Exercises - Page 486: 35

Answer

The medians of an isosceles triangle are equal in length.

Work Step by Step

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.
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