Chapter 7.1, Problem 18E

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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 in the interior of a right triangle with sides of

To determine

**To find:**

The locus of points in the interior of a right triangle with sides of

Explanation

**Approach:**

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: Construct a right triangle (shown in black) with sides of

Step 2: Construct another right triangle (shown in red) with an offset of

Thus, the locus of points in the interior of a right triangle with sides of

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