Question

Co - ordinate geometey Q. 19​

Answer 1

here,by using distance formula,

AB=√(1+3)^+(-3-0)^

=√16+9=√25=5...........equ 1

BC=√49+1=√50=........equ 2

AC=√9+16=√25=5...........equ 3

therefore from 1and 3

1=3

ie, AB=AC..

hence ABC is isosceles..

and here,

since AB^+Ac^= 25+25=50

and BC^=√50+√50=50

and since AB^+AC^=BC^

ABC is an right triangle... (converse of Pythagoras Therom)

hence ABC is an isosceles right triangle...

hence proved