Question

if vertices of triangleabc area(0,0),b(1,0)and c(0,1), then prove that triangleabc is a right angled triangle.also find the coordinates of the orthocentre

Answer 1

(0,0),(1,0), (0,1) are situated at coordinate axes
(0,0) is the origin that is intersection of x-axis and y-axis.
(1,0) is on x-axis.
(0,1) is on y-axis.
as angle between x-axis and y-axis is 90° so ABC is a right angled triangle.
( you can also prove it by using pythagorean theorem )