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The sides of a triangle are 9 , 12 , 15 . Find the area of triangle formed by its centroid , orthocentre $ incentre ?

The sides of a triangle are 9 , 12 , 15 . Find the area of triangle formed by its centroid , orthocentre $ incentre ?  

Grade:12

1 Answers

Badiuddin askIITians.ismu Expert
147 Points
11 years ago

Dear Mayank

clearly the given traingle is right angel triangle

so its ortho center lie at vertex of angel 90 degree

 

7368-56_7662_untitled.JPG

centroid G = {(0+0+12)/3  , (0+9+0)/3}

                = (4,3)

incenter I= { (ax1 + bx2 +cx3)/(a+b+c)  , (ay1 +by2 +cy3)/(a+b+c)}

              =(3,3)

vertex are knoen now you can easly find the area

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Badiuddin

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