I G is the centroid and I the in-centre of the triangle, with vertices A(-36,7), B(20,7) and C(0,-8), then, find the value of GI.

answer is 4.7

Dear Chanchal ,

   is  the formulae for the incentre of triangle  and the centroid of a triangle is given by (x_{2 ,} y₂)  =   (x1+x2+x3/3 .y1+y2+y3/3)

so , G = (-36+20+0/3 ,  7+7+(-8)/3) ;  G = (-16/3 , 2)

a = BC = 25 , b =AC = 39 , c =AB  = 56

therefore ,

I = [25*(-36)+39*(20)+56*(0)/(25+39+56),  25*(7)+39*(7)+56*(-8)/(25+39+56) ]

I =[-1 , 0]

therfore ,

IG  =  4.77 (use simply heroes formulae)

GOOD LUCK !!!

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