Explanation Procedure used: STEP 1: We start with the obtuse triangle A B C . STEP 2: Construct the bisector of the line segment A B . Place the compasses on one end of the line segment. Set the compasses width to an approximately two thirds the line length. Without changing the compasses width, draw an arc above and below the line. STEP 3: Again without changing the compasses width, place the compasses point on the other end of the line. Draw an arc above and below the line so that the arcs cross the first two. STEP 4: Using a straightedge, draw a line between the points where the arcs intersect. This line is perpendicular to the first line and bisects it. STEP 5: In the same manner, draw Construct the bisector of the line segment A C . STEP 6: The point where these two perpendiculars intersect is the obtuse triangle's circumcenter. Given: Draw a obtuse triangle. Construct its circumscribed circle . Clarification: STEP 1: We start with the obtuse triangle A, B, C . STEP 2: Construct the bisector of the line segment A B . Place the compasses on B end of the line segment. Set the compasses width to an approximately two thirds the line length. Without changing the compasses width, draw an arc above and below the line

Elementary Geometry for College Students

7th Edition

ISBN: 9780357746936

Author: Daniel C. Alexander; Geralyn M. Koeberlein

Publisher: Cengage Limited

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Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

Chapter 7.2, Problem 17E

To determine

To draw:

The obtuse triangle constructs its circumcenter.

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Chapter 7.2, Problem 16E

Chapter 7.2, Problem 18E

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Elementary Geometry for College Students

Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Prob. 3E Ch. 7.1 - In Exercises 3 to 8, use the drawing provided....Ch. 7.1 - Prob. 5E Ch. 7.1 - Prob. 6E Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...

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To draw: The obtuse triangle constructs its circumcenter.

Solution Summary: The author explains how the obtuse triangle constructs its circumcenter.