Question

The hypotenuse of a right angled isoceles triangle has its ends at the points(1,3)&(-4,1). Find the equations of the legs of the triangle.

Answer 1

Answer:

The hypotenuse of a right angled isoceles triangle has its ends at the points(1,3)&(-4,1).

So,

$( \frac{y - 3}{x - 1}) = 1 \\ y - 3 = x - 1 \\ x - y + 2 = 0$

And

$( \frac{y - 1}{x + 4}) = 1 \\ y - 1 = x + 4 \\ x - y + 3 = 0$