How do I find the type of triangle with the help of 3 coordinates?

Step 1: Measure the distance between the points. to know the lengths of the three sides of the triangle.
FORMULA: d\ =\ \sqrt{\left(x_{2\ }-\ x_1\right)^2\ +\ \left(y_{2\ }\ -\ y_1\right)^2}\
EXAMPLE: Given points (2, 1)(10, 7),
length=\ \sqrt{\left(10\ -\ 2\right)^2\ +\ \left(7-1\right)^2}
length=\sqrt{64\ +\ 36}
Side\ length=\sqrt{100}
Step 2; Compare the given lengths of the sides and angles.
Step 3: Conclude that the given triangle is an Equilateral triangle. If you find either all lengths or all angles are equal. (Otherwise go to the next step.)
EXAMPLE: Lengths 36 cm, 36 cm and 36 cm \degree
Angles : 60 \degree , 60 \degree and 60 \degree
Step 4: Conclude that the given triangle is an Isosceles triangle. If you find either two equal. (Otherwise go to the next step.)
EXAMPLE: Lengths: 36 cm, 36 cm and 57 cm
Angles: 50 \degree , 50 \degree and 80 \degree
Step 5: Conclude that the given triangle is a Scalene Triangle. If you find either sides or angles are not equal.
EXAMPLE: Lengths: 4.6 cm, 3.4 cm and 4.3 cm
Angles: 70 \degree , 30 \degree and 80 \degree