Chapter 7.2, Problem 7E

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

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

a) orthocenter?

b) centroid?

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

**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:

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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