Grade 11Algebra

The x-coordinate of the incentre of the triangle that the coordinates of mid points of its sides as (0,1) (1,1)and (1,0) is

Jayant Kumar

12 Years agoGrade 11

12 Years ago

let A(x1,y1) B(x2,y2) C(x3,y3) are the vertices of a triangle then

x1+x2=0; x2+x3=2; x3+x1=2

y1+y2=2; y2+y3=2; y3+y1=0

solving above equations we get A(0,0) B(0,2) C(2,0)

now a=BC=2.828 ,b=CA=2 ,c=AB=2

incentre x coordinate is given by $\frac{ax1+bx2+cx3}{a+b+c}$

which is 2-sqrt(2)=0.585

Thanks and Regards

Shaik Aasif

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