Question

5.Show that A(3,-2),B(4,3),C(-6,5) are the vertices of a right - angled triangle

Answer 1

$\: distance \: of \: ab \: is \: \sqrt{26 \:} \: \: \: \: and \: distance \: of \: bc \: is \: \sqrt{104} \ \: similarly \: distance \: of \: ac \: is \: \sqrt{130} \\ using \: pythagorous \: formula \: \: square \: of \: ac \: = \: square \: of \: bc \: + square \: of \: ab$

(ROOT 130)square = square of root 124 + square of root 24.

130=130

HENCE, PROVED.