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.