Chapter 3.4, Problem 38E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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Construct an equilateral triangle and its three altitudes. What does intuition tell you about the three medians, the three angle bisectors, and the three perpendicular bisectors of the sides of that triangle? |

To determine

**To draw:**

The equilateral triangle and its three altitudes and comment on intuition about three medians, the three angle bisectors, and the three perpendicular bisectors of the sides of that triangle.

Explanation

**Given:**

The given triangle is equilateral triangle.

**Approach:**

Consider a line AB as shown below.

Figure

Take point A and B as center and draw two circle of equal radius and mark the intersection points as shown below.

Figure

Draw the line segments

Figure

Take the point C as center and draw the circle of radius AB and mark the intersection points as shown below.

Figure

Draw the three line segments

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