Question

Show that the points a(7,10), b(-2,5), c(3,-4) are the vertices of an isosceles right triangle. r.s aggarwal coordinate geometry exercise 16a

Answer 1

if either AB=BC (or) BC=CA (or) BA=AC,
then a triangle is an isosceles triangle

here,
AB=√((x2-x1)^2+(y2-y1)^2)
AB=√107

similarly, AC=√212
,BC=√107

so, AB=BC,
therefore, the triangle is an isosceles triangle.