Question

The points A(0, 6), B(-5, 3) and C(3, 1) are the vertices of a triangle which is

• A. Isoscles
• B. Equilateral
• C. Scalene
• D. None of these

Answer 1

The correct option is A

Isoscles

$A{B}^2=(5^2+3^2)=34,B{C}^2=\left\{\right(-8{)}^2+2^2\}=68,A{C}^2=(-3{)}^2+(5{)}^2=34$
$\therefore AB=AC$.
Hence, $\Delta ABC$ is isoscles.