Name the type of triangle formed by the points A( - 5, 6), B( - 4, - 2) and C(7, 5).

By using the distance formula lets determine the length of all three sides.

∵ Distance between the points (x_{1}, y_{1}) and (x_{2}, y_{2});

d =

So,

AB =

BC =

CA =

By calculating the distance between two points, now we can find out the type of triangle.

As we can see;

AB≠BC≠CA

ΔABC also not satisfies the condition Pythagoras i.e.,

(Hypotenuse)^{2} = (Base)^{2} + (Perpendicular)^{2}

Hence, the triangle is scalene because all of its sides are not equal i.e., different from each other.

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