   Chapter 7.2, Problem 21E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
1 views

# Draw an obtuse triangle and, by construction, find the centroid of the triangle.(HINT: Begin by constructing the perpendicular bisectors of the sides.)

To determine

To draw:

The obtuse triangle constructs its centroid.

Explanation

Procedure used:

STEP 2: Construct the bisector of the line segment AB. 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: Draw the median from the midpoint E to the opposite vertex C

STEP 6: In the same manner, draw the median from the midpoint F to the opposite vertex B.

STEP 7: The point C where the two medians intersect is the centroid of the triangle ABC.

Repeat for the third side. This will convince you that the three medians do in fact intersect at a single point. But two are enough to find that point.

Given:

Draw an obtuse triangle. Construct its centroid.

Clarification:

STEP 2: Construct the bisector of the line segment AB. 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

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### Solve the equations in Exercises 126. (x2+1)(x+1)43(x+1)73=0

Finite Mathematics and Applied Calculus (MindTap Course List)

#### Explain the difference between a matched-subjects design and a repeated-measures design.

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

#### True or False: is a convergent series.

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 