   Chapter 7.CR, Problem 20CR 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

In Review Exercises 18 to 23, use construction methods with the accompanying figure. Given: Δ A B C Find: The orthocenter

To determine

To find: The orthocenter of the triangle ABC.

Explanation

Given:

The triangle ABC is shown below.

Definition used:

Orthocenter:

The intersection of any two altitudes determines the orthocenter of a triangle.

Calculation:

Consider the triangle ABC.

First construct the altitude from A to BC¯.

Draw an arc from A to intersect BC¯ at D and E.

Now draw equal arcs from D and E to intersect at X

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