Question

The three points (-2,2), (8,-2) and (-4, -3) are the vertices of

• A. An isosceles triangle
• B. An equilateral triangle
• C. A right angled triangle
• D. None of these

Answer 1

The correct option is C

A right angled triangle

a = $\sqrt{(8+2{)}^2+(-2-2{)}^2}$ = $\sqrt{116}$

b = $\sqrt{(-4-8{)}^2+(-3+2{)}^2}$ = $\sqrt{145}$

c = $\sqrt{(-4+2{)}^2+(-3-2{)}^2}$ = $\sqrt{29}$ $\Rightarrow$ $a^2+c^2=b^2$

Hence it is right angled triangle.