Monday, 25 September 2017

Use calculus to find the area of the triangle with the given vertices.

Given the coordinates (2, 0), (0, 2), and (-1, 1).


Let A=(2, 0), B(0, 2), and C(-1, 1).



Find the equation of line AB using A(2, 0) and B(0, 2).


The slope of line AB is 


The equation of line AB is 


Find the equation of line BC using B(0, 2) and C(-1 1).


The slope of line BC is 


The equation of line BC is 


Find the equation of line AC using A(2,...

Given the coordinates (2, 0), (0, 2), and (-1, 1).


Let A=(2, 0), B(0, 2), and C(-1, 1).



Find the equation of line AB using A(2, 0) and B(0, 2).


The slope of line AB is 


The equation of line AB is 


Find the equation of line BC using B(0, 2) and C(-1 1).


The slope of line BC is 


The equation of line BC is 


Find the equation of line AC using A(2, 0) and C(-1, 1).


The slope of line AC is 


The equation of line AC is 


Set up the intervals for integration.


  



 from x=-1 to x=0 +   from x=0 to x=2


  from x=-1 to x=0 +   from x=0 to x=2







The area of the triangle with vertices (2, 0), (0, 2), and (-1, 1) is 2 units squared.


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