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Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

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Section
BuyFindarrow_forward

Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

In Exercises 1 to 17, complete an analytic proof for each theorem.

The median from the vertex of an isosceles triangle to the base is perpendicular to the base.

To determine

To answer:

The analytic proof for the given theorem “The median from the vertex of an isosceles triangle to the base is perpendicular to the base”.

Explanation

Given theorem is,

The median from the vertex of an isosceles triangle to the base is perpendicular to the base.

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.

Where, the median is drawn from the vertex of AC and BC to the base AB.

Here, the median AD is divide the isosceles triangle as two equal right angle triangles.

Hence, AD=BD

And the angle of triangle CDA = the angle of triangle CDB.

CDA=CDB

Angle of triangle CDA + Angle of trian<

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