Chapter 7.1, Problem 15E

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

Note: Exercises preceded by an asterisk are of a more challenging nature.

*In Exercises 11 to 22, sketch and describe each locus in the plane.*

Find the locus of points that are equidistant from three noncollinear points

To determine

**To find:**

The locus of points that are equidistant from three noncollinear points

Explanation

**Definition:**

The locus of points in a plane that are equidistant from the endpoints of a line segment is the perpendicular bisector of that line segment.

**Calculation:**

Step 1: Locate any arbitrary point

Step 2: Locate three points

Step 3: Join them by a straight line (shown in black). The distance between the fixed point and the three collinear points

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