Homework Help is Here – Start Your Trial Now!
Math
Algebra
A right triangle has area 30 ft and a hypotenuse that is 1 foot longer than one of its sides. (a) If x denotes the length of this side, then show that 2r + x? – 3600 = 0. (b) Show that there is a positive root of the equation in part (a) and that this root is less than 13. (c) Find the lengths of the sides of the triangle.

A right triangle has area 30 ft and a hypotenuse that is 1 foot longer than one of its sides. (a) If x denotes the length of this side, then show that 2r + x? – 3600 = 0. (b) Show that there is a positive root of the equation in part (a) and that this root is less than 13. (c) Find the lengths of the sides of the triangle.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.4: Complex And Rational Zeros Of Polynomials
Problem 41E
See similar textbooks
icon
Related questions
Question
A right triangle has area 30 ft and a hypotenuse that is 1 foot longer than one of its sides. (a) If x denotes the length of this side, then show that 2r + x? – 3600 = 0. (b) Show that there is a positive root of the equation in part (a) and that this root is less than 13. (c) Find the lengths of the sides of the triangle.
Transcribed Image Text:A right triangle has area 30 ft and a hypotenuse that is 1 foot longer than one of its sides. (a) If x denotes the length of this side, then show that 2r + x? – 3600 = 0. (b) Show that there is a positive root of the equation in part (a) and that this root is less than 13. (c) Find the lengths of the sides of the triangle.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS