![Precalculus](https://www.bartleby.com/isbn_cover_images/9780321716835/9780321716835_largeCoverImage.gif)
To show:The given points are the vertices of an isosceles triangle .
![Check Mark](/static/check-mark.png)
Explanation of Solution
Given:
Formula Used:
The distance between two points :
Proof:
First,find d (A,B).
For any points P1(x1, y1) and P2(x2, y2), the distance between the two points, denoted by d (P1, P2) is
Substitute 1 for x2, 3 for x1, 1 for y2, and 4 for y1
Similarly, use the distance formula to find d (B, C) and d (A, C).
Now, check whether triangle is isosceles.
For a triangle to be isosceles, at least two of the sides must be of equal length.
Thus,
The triangle ABC is isosceles.
Conclusion:
Thus, triangle ABC is isosceles.
Chapter 1 Solutions
Precalculus
Additional Math Textbook Solutions
Calculus & Its Applications (14th Edition)
Calculus, Single Variable: Early Transcendentals (3rd Edition)
Precalculus (10th Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
University Calculus: Early Transcendentals (3rd 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
![Text book image](https://www.bartleby.com/isbn_cover_images/9781285741550/9781285741550_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780134438986/9780134438986_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780134763644/9780134763644_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781319050740/9781319050740_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780135189405/9780135189405_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781337552516/9781337552516_smallCoverImage.gif)