Question

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?​

Answer 1

the answer is 37 maybe I m wrong maybe I m right