BuyFindarrow_forward

Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section
BuyFindarrow_forward

Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

A 30 ° - 60 ° - 90 ° 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 30°-60°-90° triangle if it is inscribed in a circle with radius of length 5 cm.

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 30°-60°-90° triangle is inscribed in O with radius of length 5 cm.

Bytheorem,” Angle inscribed in a semicircle is a right angle”.

If a 30°-60°-90° triangle is inscribed in a circle, then its hypotenuse is diameter of the circle.

Let A,B, and C be vertices of the triangle.

And ABC=90°

Then AC is the diameters of the circle.

So, radiii = AO=CO=5 cm.

AB,BC, and CA are the sides of the triangle.

Since AB^:BC^=AB¯:BC¯

Let BAC=30°, AB^=60° and BCA=60°, BC^=120°

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started
Sect-6.1 P-11ESect-6.1 P-12ESect-6.1 P-13ESect-6.1 P-14ESect-6.1 P-15ESect-6.1 P-16ESect-6.1 P-17ESect-6.1 P-18ESect-6.1 P-19ESect-6.1 P-20ESect-6.1 P-21ESect-6.1 P-22ESect-6.1 P-23ESect-6.1 P-24ESect-6.1 P-25ESect-6.1 P-26ESect-6.1 P-27ESect-6.1 P-28ESect-6.1 P-29ESect-6.1 P-30ESect-6.1 P-31ESect-6.1 P-32ESect-6.1 P-33ESect-6.1 P-34ESect-6.1 P-35ESect-6.1 P-36ESect-6.1 P-37ESect-6.1 P-38ESect-6.1 P-39ESect-6.1 P-40ESect-6.1 P-43ESect-6.2 P-1ESect-6.2 P-2ESect-6.2 P-3ESect-6.2 P-4ESect-6.2 P-5ESect-6.2 P-6ESect-6.2 P-7ESect-6.2 P-8ESect-6.2 P-9ESect-6.2 P-10ESect-6.2 P-11ESect-6.2 P-12ESect-6.2 P-13ESect-6.2 P-14ESect-6.2 P-15ESect-6.2 P-16ESect-6.2 P-17ESect-6.2 P-18ESect-6.2 P-19ESect-6.2 P-20ESect-6.2 P-21ESect-6.2 P-22ESect-6.2 P-23ESect-6.2 P-24ESect-6.2 P-25ESect-6.2 P-26ESect-6.2 P-27ESect-6.2 P-28ESect-6.2 P-29ESect-6.2 P-30ESect-6.2 P-31ESect-6.2 P-32ESect-6.2 P-33ESect-6.2 P-34ESect-6.2 P-35ESect-6.2 P-36ESect-6.2 P-37ESect-6.2 P-38ESect-6.2 P-39ESect-6.2 P-40ESect-6.2 P-41ESect-6.2 P-42ESect-6.2 P-43ESect-6.2 P-44ESect-6.2 P-45ESect-6.2 P-46ESect-6.2 P-47ESect-6.2 P-48ESect-6.2 P-49ESect-6.3 P-1ESect-6.3 P-2ESect-6.3 P-3ESect-6.3 P-4ESect-6.3 P-5ESect-6.3 P-6ESect-6.3 P-7ESect-6.3 P-8ESect-6.3 P-9ESect-6.3 P-10ESect-6.3 P-11ESect-6.3 P-12ESect-6.3 P-13ESect-6.3 P-14ESect-6.3 P-15ESect-6.3 P-16ESect-6.3 P-17ESect-6.3 P-18ESect-6.3 P-19ESect-6.3 P-20ESect-6.3 P-21ESect-6.3 P-22ESect-6.3 P-23ESect-6.3 P-24ESect-6.3 P-25ESect-6.3 P-26ESect-6.3 P-27ESect-6.3 P-28ESect-6.3 P-29ESect-6.3 P-30ESect-6.3 P-31ESect-6.3 P-32ESect-6.3 P-33ESect-6.3 P-34ESect-6.3 P-35ESect-6.3 P-36ESect-6.3 P-37ESect-6.3 P-38ESect-6.3 P-39ESect-6.3 P-40ESect-6.3 P-41ESect-6.3 P-42ESect-6.3 P-43ESect-6.3 P-44ESect-6.3 P-45ESect-6.3 P-46ESect-6.3 P-47ESect-6.3 P-48ESect-6.3 P-49ESect-6.3 P-50ESect-6.4 P-1ESect-6.4 P-2ESect-6.4 P-3ESect-6.4 P-4ESect-6.4 P-5ESect-6.4 P-6ESect-6.4 P-7ESect-6.4 P-8ESect-6.4 P-9ESect-6.4 P-10ESect-6.4 P-11ESect-6.4 P-12ESect-6.4 P-13ESect-6.4 P-14ESect-6.4 P-15ESect-6.4 P-16ESect-6.4 P-17ESect-6.4 P-18ESect-6.4 P-19ESect-6.4 P-20ESect-6.4 P-21ESect-6.4 P-22ESect-6.4 P-23ESect-6.4 P-24ESect-6.4 P-25ESect-6.4 P-26ESect-6.4 P-27ESect-6.4 P-28ESect-6.4 P-29ESect-6.4 P-30ESect-6.4 P-31ESect-6.4 P-32ESect-6.4 P-33ESect-6.4 P-34ESect-6.4 P-35ESect-6.4 P-36ESect-6.4 P-37ESect-6.4 P-38ESect-6.4 P-39ESect-6.4 P-40ESect-6.4 P-41ESect-6.CR P-1CRSect-6.CR P-2CRSect-6.CR P-3CRSect-6.CR P-4CRSect-6.CR P-5CRSect-6.CR P-6CRSect-6.CR P-7CRSect-6.CR P-8CRSect-6.CR P-9CRSect-6.CR P-10CRSect-6.CR P-11CRSect-6.CR P-12CRSect-6.CR P-13CRSect-6.CR P-14CRSect-6.CR P-15CRSect-6.CR P-16CRSect-6.CR P-17CRSect-6.CR P-18CRSect-6.CR P-19CRSect-6.CR P-20CRSect-6.CR P-21CRSect-6.CR P-22CRSect-6.CR P-23CRSect-6.CR P-24CRSect-6.CR P-25CRSect-6.CR P-26CRSect-6.CR P-27CRSect-6.CR P-28CRSect-6.CR P-29CRSect-6.CR P-30CRSect-6.CR P-31CRSect-6.CR P-32CRSect-6.CR P-33CRSect-6.CR P-34CRSect-6.CR P-35CRSect-6.CT P-1CTSect-6.CT P-2CTSect-6.CT P-3CTSect-6.CT P-4CTSect-6.CT P-5CTSect-6.CT P-6CTSect-6.CT P-7CTSect-6.CT P-8CTSect-6.CT P-9CTSect-6.CT P-10CTSect-6.CT P-11CTSect-6.CT P-12CTSect-6.CT P-13CTSect-6.CT P-14CTSect-6.CT P-15CTSect-6.CT P-16CT

Additional Math Solutions

Find more solutions based on key concepts

Show solutions add

Evaluate the integral. 0/4tan3sec2d

Calculus (MindTap Course List)

In Problem 1 – 8, use a graphing calculator with the standard viewing window to graph each function.

Mathematical Applications for the Management, Life, and Social Sciences

Use the guidelines of this section to sketch the curve. y = x4 8x2 + 8

Single Variable Calculus: Early Transcendentals, Volume I

In Exercises 18, determine whether the equation defines y as a linear function of x. If so, write it in the for...

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Solve the equations in Exercises 126. (x+1)3+(x+1)5=0

Finite Mathematics and Applied Calculus (MindTap Course List)

For the following scores, find the value of each expression: X 3 2 4 2 a. X b. (X)2 c. X 2 d. (X 2)

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

Finding a Derivative In Exercises 43-66. find the derivative of the function. y=ln|secx+tanx|

Calculus: Early Transcendental Functions (MindTap Course List)

For f (x) = cos (x2 + 1) we may write f(x) = (h g)(x), where: a) h(x) = cos x2 and g(x) = x +1 b) h(x) = cos x...

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th