# Which lines or line segments or rays must be drawn or constructed in a triangle to locate its a) orthocenter? b) centroid?

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
Publisher: Cengage,
ISBN: 9781337614085

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
Publisher: Cengage,
ISBN: 9781337614085

#### Solutions

Chapter
Section
Chapter 7.2, Problem 7E
Textbook Problem

## Which lines or line segments or rays must be drawn or constructed in a triangle to locate itsa) orthocenter?b) centroid?

Expert Solution
To determine

(a)

To find:

Which lines or line segments or rays must be drawn or constructed in a triangle to locate its orthocenter.

### Explanation of Solution

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.

Orthocenter:

The point where the three altitudes of a triangle meet. An altitude is a line that goes through vertex (corner point) and is at right angles to the opposite side.

Given:

Which lines or line segments or rays must be drawn or constructed in a triangle to locate its orthocenter.

Calculation:

By the above definition,

The point of concurrence for the three altitudes of a triangle is known as orthocenter of the triangle.

For example:

Expert Solution
To determine

(b)

To find:

Which lines or line segments or rays must be drawn or constructed in a triangle to locate its centroid.

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