In the given triangle , Coordinates of A (-1,3) , B (-5,-1), C (3,-1).
Let's find the slope of AB and AC .
Formula of slope is
For AB, slope is,
And slope of AC is
Product of the slopes of AB and AC is
Since the product of the two slopes is -1, so AB and AC are perpendicular.
And if they are perpendicular, angle BAC is 90 degree, so the triangle is right triangle .
Now we check the length of the sides of the triangle, and for that we use distance formula , which is
So for AB,
For AC,
For BC,
And since two sides are equal, so the triangle is isosceles triangle .
