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 (x1, y1) and (x2, y2);


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.


1
1