Question

A(-1,3), B(7,-3), and C(4,1), prove that AB=2BC

Answer 1

AB= { [7-(-1)]²+[-3-3]²}^½

={ [8]²+[-6]²} ^½

= {64+36} ^½={100}^½=10... Ans(1)


BC= { [4-7]²+[1 +3]²}^½

= { [-3]²+[4]²}^½

= { 9+16}^½

= (25)^½

=5....Ans(2)


So, AB=2BC