   Chapter 7.2, Problem 14E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

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

Must the centroid of an isosceles triangle lie on the altitude to the base?

To determine

To explain:

The centroid of an isosceles triangle lie on the altitude to the base.

Explanation

Definition:

Altitudes of a triangle:

An altitudes is a line which passes through a vertex of a triangle, and meets the opposite side at right angles.

Centroid:

A centriod of a triangle is the point where the three medians of the triangle meet. A median of triangle is a lined segment from one vertex to the midpoint on the opposite of the triangle.

Given:

The centroid of an isosceles triangle lie on the altitude to the base.

Calculation:

In an isosceles triangle, the altitude and median are the same line segment when drawn from the vertex opposite the base to the base...

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