Concept explainers
To find: The function that models area of equilateral triangle in terms of its length x of one of its sides.
Answer to Problem 7P
The function that models area of given equilateral triangle is
Explanation of Solution
Draw the figure of equilateral triangle as shown below.
Figure (1)
Area of triangle is,
The length of side of equilateral triangle is
In Figure (1)
Use Pythagorean theorem in triangle
Substitute x for
Subtract
Take square root of above equation and switch sides.
Summarize the all the information as shown in table below.
In Words | In Algebra |
Base |
|
Height |
|
Use the information in the table and model the function.
Thus, the function that models area of equilateral triangle is
Chapter 2 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning