Chapter 7.2, Problem 14E

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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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