Consider ΔABCΔABC with incenter I(1,0)I(1,0). Equations of the straight lines AIAI, BIBI, and CICI are x=1, y+1=x and x+3y=1 respectively and cot(A2)=2
What is the locus of the centroid of ΔABC?
What is the slope of side BC?
If A lies above the X axis and the area of ΔABC is 30 square units then what is the inradius of ΔABC is?
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