Chapter 6.CR, Problem 32CR

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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A **
** triangle is inscribed in a circle with a radius of length 5 cm. Find the perimeter of the triangle.

To determine

**To Find: **The perimeter of the

Explanation

**Definition:**

A central angle of a circle is an angle whose vertex is the center of the circle and whose sides are radii of the circle.

An inscribed angle of a circle is an angle whose vertex is a point on the circle and whose sides are chords of the circle.

**Theorems:**

The measure of an inscribed angle of a circle is one-half the measure of its intercepted arc.

Congruent chords are located at the same distance from the center of a circle.

Angle inscribed in a semicircle is a right angle.

**Calculation:**

Given that a

By**theorem,”** Angle inscribed in a semicircle is a right angle”.

If a

Let

And

Then AC is the diameters of the circle.

So, radiii =

Since

Let

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