Concept explainers
a.
The triangle ABC in the coordinate plane.
a.
Explanation of Solution
Given:
The given Points of triangle are,
The given points are the vertices of the triangle.
Plot the above points in a coordinate plane and join the points to form the triangle.
The figure showing triangle ABC is shown below.
b)
The altitude from vertex B of the triangle to the side AC.
b)
Answer to Problem 75E
Explanation of Solution
Given:
The given Points of triangle are,
Concept Used:
The altitude from vertex B divides the line joining vertex A and C in two equal parts.
The mid-point formula is given by,
The distance formula is given by,
Calculation:
As per the given problem
Substitute the values from point A and C in mid-point formula.
The coordinates of mid-point of line AC is
The altitude is the line from point D to point B.
Substitute the values from in distance formula.
Conclusion:
The length of the altitude from vertex B of the triangle to the side AC is
c.
The area of the triangle ABC.
c.
Answer to Problem 75E
Explanation of Solution
Given:
The given Points of triangle are,
Concept Used:
The distance formula is given by,
The area of the triangle is,
Calculation:
As per the given problem,
Substitute the values from point A and C in distance formula.
Substitute the values in the formula of area.
Conclusion:
The length of the altitude from vertex B of the triangle to the side AC is
Chapter 10 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