Co-Ordinate Geometry : Please find the mistake

62 Views Asked by At

https://i.stack.imgur.com/Om69o.png

I think there is some mistake in my diagram or the work. Please check the link .

The above formula is of Distance Formula(in the link). that is $$\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$$ but I am getting it as (please see the link for the work) : $$\sqrt{(x_2-x_1)^2 + (y_1 - y_2)^2}$$ Please let me know about my mistake .

1

There are 1 best solutions below

2
On BEST ANSWER

No mistake, your formula and the class formula are equal because: $$y_2-y_1 = (-1)\cdot(y_1-y_2)$$ so $$(y_2-y_1)^2 = (-1)^2(y_1-y_2)^2=(y_1-y_2)^2$$