To find:check whether the given
Answer to Problem 37PPE
The given triangle PQR is not a right angled triangle.
Explanation of Solution
Given info:
Consider the triangle PQR is a right angled triangle.
The vertices of PQR is denoted by
Consider the vertices of P
Consider the vertices of Q
Consider the vertices of R
Formula used:
Show the point−slope formula to find slope
If any two lines of the triangle don’t have the same slope value and also the slope value is a negative reciprocal of another line, then the triangle is said to be right angles-triangle.
The product of the two slopes of the lines of the triangle is -1, then the triangle is said to be right angles-triangle that is
Calculation:
Find the slope of the points P
Hence, the slope of the line PR is
Find the slope of the points R
Hence, the slope of the line RQ is
Find the slope of the pointsQ
Hence, the slope of the line QP is
Find whether the line PR and RQ is perpendicular to each other.
Hence, the line PR and RQ are not perpendicular to each other because it doesn’t satisfies the condition.
Find whether the line RQ and QP is perpendicular to each other.
Hence, the line RQ and QP are not perpendicular to each other because it doesn’t satisfies the condition.
Hence, the given triangle PQR is not a right angle triangle.
Conclusion:
Thus, the given triangle PQR is not a right angle triangle.
Chapter 5 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
Additional Math Textbook Solutions
College Algebra
Elementary and Intermediate Algebra
Algebra and Trigonometry
College Algebra (5th Edition)
College Algebra in Context with Applications for the Managerial, Life, and Social Sciences (5th Edition)
College Algebra (10th Edition)
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education