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

Dear Mayank

clearly the given traingle is right angel triangle

so its ortho center lie at vertex of angel 90 degree

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

Please feel free to post as many doubts on our discussion forum as you can.
If you find any question Difficult to understand - post it here and we will get you
the answer and detailed  solution very  quickly.

 We are all IITians and here to help you in your IIT JEE preparation.

All the best.
 
Regards,
Askiitians Experts
Badiuddin