Using intergration find the area bounded by the triangle whose vertices are given by A (1,0), (2,2) and (3,1).

 

My doubt id that how do we get the equation in terms of 'y' so that we are easy to intergrate using: intergral of y dx 

Asked by Shanmuga Priya | 19th Mar, 2014, 12:13: PM

Expert Answer:

First find the equation of the lines AB, BC and CA using two points formula.
 
Then write y in terms of x for all the equations.
 
Draw a rough graph for the triangle.
 
Mark the intersection points.
 
Find the difference of ordinates, that is, find the difference of the two equations of the lines which are intersecting.
 
Then integrate the function.
 
We are providing  a solution to a different question. You can refer to this question and follow the same steps.
 
Hope this will help you.

Answered by  | 3rd Apr, 2014, 12:14: PM

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