Chapter 7.2, Problem 32E

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

Draw a triangle. Construct its circumscribed circle.

To determine

**To draw:**

The triangle constructs its circumscribed circle.

Explanation

**Procedure used:**

**STEP 1:** We start with the triangle

**STEP 2: **Construct the bisector of the line segment

**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

**STEP 6:** The point where these two perpendiculars intersect is the obtuse triangle's circumcenter.

**STEP 7:** Place the compasses point on the intersection of the perpendiculars and set the compasses width to one of the points

**Given:**

Draw a triangle. Construct its circumscribed circle.

**Clarification:**

**STEP 1:** We start with the triangle *A, B, C*.

**STEP 2: **Construct the bisector of the line segment

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