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Chanchal Kumar Grade: 11
        

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.

6 years ago

Answers : (2)

TULJAVAMSHIKIRAN BUYAKAR
16 Points
										

answer is 4.7

6 years ago
AJIT AskiitiansExpert-IITD
68 Points
										

Dear Chanchal ,


 (x_I,y_I)=((ax_1+bx_2+cx_3)/(a+b+c),(ay_1+by_2+cy_3)/(a+b+c)).    is  the formulae for the incentre of triangle  and the centroid of a triangle is given by (x2 , 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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6 years ago
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