Chapter 10.5, Problem 44E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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For isosceles

To determine

**To find:**

The coordinates of the circumcenter of an isosceles

Explanation

The triangle

Let

The point of intersection of the perpendicular bisectors is the circumcentre.

By theorem,

If two lines are perpendicular, then the product of their slopes is

(i.e.) If

Since

(i.e.)

Obviously the altitude

The slope of the line

Using the slope formula and choosing

Thus the slope of the altitude

To find any point on the line

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