Question

Are the points $(5,5),(8,2)$ and $(3,-4)$ are vertices of right angled triangle.

• A. True
• B. False
• C. Cant say
• D. None

Answer 1

The correct option is B False

Let the points $A(5,5),B(8,2)$ and $C(3,-4)$ are vertices of triangle.
$A{B}^2=(5-8{)}^2+(5-2{)}^2=9+9=18$
$B{C}^2=(8-3{)}^2+(2+4{)}^2=25+36=61$
$C{A}^2=(3-5{)}^2+(-4-5{)}^2=4+81=85$
$A{B}^2+A{C}^2\ne B{C}^2$
The vertices are not points of a right angled triangle.