Concept explainers
By using slope, we have to find whether the vertices form a right-angle triangle or not.
Answer to Problem 58E
Yes, the vertices ABC are forming a right-angle triangle.
Explanation of Solution
Given information:
Formula used: -
Where
“To form a right-angle triangle one of the sides of the triangle is perpendicular on the other side of triangle. Therefore, when two sides are perpendicular their product of slope is -1.”
Slope of AB:
Slope of BC:
Slope of CA:
Product of slope AB and CA:
Hence, the product of AB and CA is -1 therefore, triangle ABC is a right-angle triangle at angle A.
Chapter 1 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