a.
Determine whether the triangle is an acute triangle, an obtuse triangle, or a right triangle.
a.
Answer to Problem 5PS
Explanation of Solution
Given information:
The vertices of a triangle are given. Determine whether the triangle is an acute triangle, an obtuse triangle, or a right triangle.
Calculation:
Consider the vertices of triangle,
Compute
Dot product of vector
Dot product of vector
Now the third angle will be,
One angle is
Hence the triangle is
b.
Determine whether the triangle is an acute triangle, an obtuse triangle, or a right triangle.
b.
Answer to Problem 5PS
Explanation of Solution
Given information:
The vertices of a triangle are given. Determine whether the triangle is an acute triangle, an obtuse triangle, or a right triangle.
Calculation:
Consider the vertices of triangle,
Compute
Dot product of vector
Dot product of vector
Now the third angle will be,
All the three angles are less than
Hence the triangle is
c.
Determine whether the triangle is an acute triangle, an obtuse triangle, or a right triangle.
c.
Answer to Problem 5PS
Explanation of Solution
Given information:
The vertices of a triangle are given. Determine whether the triangle is an acute triangle, an obtuse triangle, or a right triangle.
Calculation:
Consider the vertices of triangle,
Compute vectors
Dot product of vector
Dot product of vector
Now the third angle will be,
Third angle is greater than
Hence the triangle is
d.
Determine whether the triangle is an acute triangle, an obtuse triangle, or a right triangle.
d.
Answer to Problem 5PS
Explanation of Solution
Given information:
The vertices of a triangle are given. Determine whether the triangle is an acute triangle, an obtuse triangle, or a right triangle.
Calculation:
Consider the vertices of triangle,
Compute vectors
Dot product of vector
Dot product of vector
Now the third angle will be,
Third angle is greater than
Hence the triangle is
Chapter 11 Solutions
EBK PRECALCULUS W/LIMITS
- 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