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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
148 Points
14 years ago

Dear Mayank

clearly the given traingle is right angel triangle

so its ortho center lie at vertex of angel 90 degree

 

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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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