Elementary Geometry for College Students (7th Edition)

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 10 - Section 10.4 - Analytic Proofs - Exercises - Page 472: 6


The medians of the congruent sides of isosceles triangles are congruent.

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.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.