Question

find the coordinates of the incentre and centroid of the triangle whose sides have the equation 3x -4y=0, 12y+5x=0, y-15=0.
also please tell me what is incentre, circumcentre, orthocentre and centroid in a triangle

Answer 1

Incentre= intersection point of angle bisectors/ centre of incircle- that touches the sides of the triangle. Incentre is equidistant from the 3 arms of the triangle.

Circumcentre:- centre of the circumcircle/intersection point of 3 perpendicular bisectors, equidistant from the three vertices of the triangle.

Orthocentre:- intersection point of 3 altitudes.

Centroid:- intersection point of 3 medians, divides each median in the ratio 2:1.


Here is the answer. Hope it helps.