Concept explainers
(a)
To find:The formula for height
(a)
Answer to Problem 2E
The formula of theheight
Explanation of Solution
Given information: Theheight of an equilateral triangle is
Formulaused:Pythagoras theorem - In a right angle triangle, the sum of its square of its base and height is equal to the square of the hypotenuse.
Calculation:
The height of an equilateral triangle is the perpendicular line drawn from a point to its base. So, the height is the median of the triangle.
The length of the base is
Substitute
Therefore, the formula of the height
(b)
To find:The height of an equilateral triangle with side length
(b)
Answer to Problem 2E
The height of an equilateral triangle with side length
Explanation of Solution
Given information:The length of the side of an equilateral triangle is
Calculation:
As calculated in part(a), the formula for height of an equilateral triangle as a function of its side length
Substitute
Therefore, the height of an equilateral triangle with side length
Chapter 1 Solutions
Calculus: Graphical, Numerical, Algebraic
Additional Math Textbook Solutions
Calculus and Its Applications (11th Edition)
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Thomas' Calculus: Early Transcendentals (14th Edition)
Calculus: Early Transcendentals (2nd 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