   Chapter 5.4, Problem 31E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

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

Find the length of the altitude to the 26-in. side of a triangle whose sides are 10, 24, and 26 in. in length.

To determine

To Find:

Length of the altitude.

Explanation

Given Length of the altitude to the 26-in. side of a triangle whose sides are 10, 24, and 26 in. in length.

The figure can be as,

From the given data,

Length of the sides of the triangle is 10, 24, and 26 in.

From the figure,

AB = 10 in. and AC = 24 in. and BC = 26 in. and the altitude AD¯ to BC¯ that is AD¯BC¯.

Let the altitude be h, and BD = x and DC= 26-x.

Now ADB is right triangle then

From the Pythagorean Theorem,

x2+h2=102x2+h2=100  ...(1)

And from another right triangle ADC,

(26x)2+h2=24267652x+x2+h2=576

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

Differentiate. y = c cos t + t2 sin t

Single Variable Calculus: Early Transcendentals, Volume I

Limits at Infinity Find the limit. 6. limx3x4

Precalculus: Mathematics for Calculus (Standalone Book)

In Problems 7-20, find each limit, if it exists.

Mathematical Applications for the Management, Life, and Social Sciences

Expand each expression in Exercises 122. (3x+1)(2x2x+1)

Finite Mathematics and Applied Calculus (MindTap Course List)

In Exercises 1-10, determine which of the matrices are stochastic. [.8.2.3.7]

Finite Mathematics for the Managerial, Life, and Social Sciences

True or False: The function y = f(x) graphed at the right could be a solution to y = x + y.

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