Chapter 7.2, Problem 43E

BuyFind*arrow_forward*

7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

A circle is inscribed in an isosceles triangle with legs of length 10 in. and a base of length 12 in. Find the length of the radius of the inscribed circle.

To determine

**To find:**

The length of the radius of the inscribed circle.

Explanation

**Formula used:**

Radius of incircle:

**Given:**

A circle is inscribed in an isosceles triangle with legs of length 10 in. and a base of length 12 in.

**Calculation:**

An isosceles triangle with legs of length 10 in. and a base of length 12 in.

We sketch the figure of the triangle of the inscribed circle.

Consider the measures of legs of an isosceles triangle 10 and 10. And measures of base of an isosceles triangle 12.

Next we find perimeter of triangle,

Let

Then we find area of triangle,

Sect-7.1 P-1ESect-7.1 P-2ESect-7.1 P-3ESect-7.1 P-4ESect-7.1 P-5ESect-7.1 P-6ESect-7.1 P-7ESect-7.1 P-8ESect-7.1 P-9ESect-7.1 P-10E

Sect-7.1 P-11ESect-7.1 P-12ESect-7.1 P-13ESect-7.1 P-14ESect-7.1 P-15ESect-7.1 P-16ESect-7.1 P-17ESect-7.1 P-18ESect-7.1 P-19ESect-7.1 P-20ESect-7.1 P-21ESect-7.1 P-22ESect-7.1 P-23ESect-7.1 P-24ESect-7.1 P-25ESect-7.1 P-26ESect-7.1 P-27ESect-7.1 P-28ESect-7.1 P-29ESect-7.1 P-30ESect-7.1 P-31ESect-7.1 P-32ESect-7.1 P-33ESect-7.1 P-34ESect-7.1 P-35ESect-7.1 P-36ESect-7.1 P-37ESect-7.1 P-38ESect-7.1 P-39ESect-7.1 P-40ESect-7.1 P-41ESect-7.1 P-42ESect-7.1 P-43ESect-7.1 P-44ESect-7.1 P-45ESect-7.1 P-46ESect-7.1 P-47ESect-7.1 P-48ESect-7.2 P-1ESect-7.2 P-2ESect-7.2 P-3ESect-7.2 P-4ESect-7.2 P-5ESect-7.2 P-6ESect-7.2 P-7ESect-7.2 P-8ESect-7.2 P-9ESect-7.2 P-10ESect-7.2 P-11ESect-7.2 P-12ESect-7.2 P-13ESect-7.2 P-14ESect-7.2 P-15ESect-7.2 P-16ESect-7.2 P-17ESect-7.2 P-18ESect-7.2 P-19ESect-7.2 P-20ESect-7.2 P-21ESect-7.2 P-22ESect-7.2 P-23ESect-7.2 P-24ESect-7.2 P-25ESect-7.2 P-26ESect-7.2 P-27ESect-7.2 P-28ESect-7.2 P-29ESect-7.2 P-30ESect-7.2 P-31ESect-7.2 P-32ESect-7.2 P-33ESect-7.2 P-34ESect-7.2 P-35ESect-7.2 P-36ESect-7.2 P-37ESect-7.2 P-38ESect-7.2 P-39ESect-7.2 P-40ESect-7.2 P-41ESect-7.2 P-42ESect-7.2 P-43ESect-7.2 P-44ESect-7.2 P-45ESect-7.2 P-46ESect-7.3 P-1ESect-7.3 P-2ESect-7.3 P-3ESect-7.3 P-4ESect-7.3 P-5ESect-7.3 P-6ESect-7.3 P-7ESect-7.3 P-8ESect-7.3 P-9ESect-7.3 P-10ESect-7.3 P-11ESect-7.3 P-12ESect-7.3 P-13ESect-7.3 P-14ESect-7.3 P-15ESect-7.3 P-16ESect-7.3 P-17ESect-7.3 P-18ESect-7.3 P-19ESect-7.3 P-20ESect-7.3 P-21ESect-7.3 P-22ESect-7.3 P-23ESect-7.3 P-24ESect-7.3 P-25ESect-7.3 P-26ESect-7.3 P-27ESect-7.3 P-28ESect-7.3 P-29ESect-7.3 P-30ESect-7.3 P-31ESect-7.3 P-32ESect-7.3 P-33ESect-7.3 P-34ESect-7.3 P-35ESect-7.3 P-36ESect-7.3 P-37ESect-7.3 P-38ESect-7.3 P-39ESect-7.3 P-40ESect-7.3 P-41ESect-7.3 P-42ESect-7.CR P-1CRSect-7.CR P-2CRSect-7.CR P-3CRSect-7.CR P-4CRSect-7.CR P-5CRSect-7.CR P-6CRSect-7.CR P-7CRSect-7.CR P-8CRSect-7.CR P-9CRSect-7.CR P-10CRSect-7.CR P-11CRSect-7.CR P-12CRSect-7.CR P-13CRSect-7.CR P-14CRSect-7.CR P-15CRSect-7.CR P-16CRSect-7.CR P-17CRSect-7.CR P-18CRSect-7.CR P-19CRSect-7.CR P-20CRSect-7.CR P-21CRSect-7.CR P-22CRSect-7.CR P-23CRSect-7.CR P-24CRSect-7.CR P-25CRSect-7.CR P-26CRSect-7.CR P-27CRSect-7.CR P-28CRSect-7.CR P-29CRSect-7.CR P-30CRSect-7.CR P-31CRSect-7.CR P-32CRSect-7.CR P-33CRSect-7.CR P-34CRSect-7.CT P-1CTSect-7.CT P-2CTSect-7.CT P-3CTSect-7.CT P-4CTSect-7.CT P-5CTSect-7.CT P-6CTSect-7.CT P-7CTSect-7.CT P-8CTSect-7.CT P-9CTSect-7.CT P-10CTSect-7.CT P-11CTSect-7.CT P-12CTSect-7.CT P-13CTSect-7.CT P-14CTSect-7.CT P-15CTSect-7.CT P-16CTSect-7.CT P-17CT

Applied Calculus

Calculus (MindTap Course List)

Calculus: Early Transcendentals

Mathematical Excursions (MindTap Course List)

Probability and Statistics for Engineering and the Sciences

Elementary Technical Mathematics

Calculus: Early Transcendental Functions

Finite Mathematics and Applied Calculus (MindTap Course List)

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

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

Statistics for The Behavioral Sciences (MindTap Course List)

Precalculus: Mathematics for Calculus (Standalone Book)

Intermediate Algebra

Finite Mathematics

Calculus: An Applied Approach (MindTap Course List)

Multivariable Calculus

Essentials Of Statistics

Single Variable Calculus: Early Transcendentals, Volume I

Understanding Basic Statistics

Single Variable Calculus

Mathematical Applications for the Management, Life, and Social Sciences

Single Variable Calculus: Early Transcendentals

Trigonometry (MindTap Course List)

Contemporary Mathematics for Business & Consumers

Elements Of Modern Algebra

Calculus of a Single Variable

Finite Mathematics for the Managerial, Life, and Social Sciences

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

Calculus: Early Transcendental Functions (MindTap Course List)

Study Guide for Stewart's Multivariable Calculus, 8th