   Chapter 10.4, Problem 6E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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# In Exercises 1 to 17, complete an analytic proof for each theorem.The medians to the congruent sides of an isosceles triangle are equal in length.

To determine

The analytic proof for the given theorem “The medians to the congruent sides of an isosceles triangle are equal in length”.

Explanation

Given theorem is,

The medians to the congruent sides of an isosceles triangle are equal in length.

The above graph shows the isosceles triangle ABC.

In an isosceles triangle ABC, the side length of AC and BC are equal.

Hence, AC=BC.

Let E and D be the mid points of the sides of AC and BC.

Joining AD and BE and which is the median to the congruent sides of the isosceles triangle as shown in the graph.

Considering the two triangles ACD and BCE:

Where, A

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