Chapter 7.2, Problem 16E

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

Draw an acute triangle and, by construction, find its circumcenter.

To determine

**To draw:**

The acute triangle constructs its circumcenter.

Explanation

**Procedure used:**

**STEP 1:** We start with the acute 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 acute triangle's circumcenter.

**Given:**

Draw an acute triangle. Construct its circumcenter.

**Clarification:**

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

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

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