Question 253215
We want to ind distance. We have an equation:
(i) {{{d = sqrt((X1-x1)^2+(Y1-Y2)^2)}}}
In words: The difference of the x's squared plus the difference of the y's squared all square rooted.
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We have three coordinates: p(4,-4), q(1,-3), r(-1,-3)
Find distance of pq. Using (i) above, we have:
{{{d = sqrt((4-1)^2+(-4-(-3))^2)}}}
{{{d = sqrt((3)^2+(-1)^2)}}}
{{{d = sqrt(9+1)}}}
{{{d = sqrt(10)}}}
Now, we do the same for qr:
{{{d = sqrt((1-(-1))^2+(-3-(-3))^2)}}}
{{{d = sqrt((2)^2+(0)^2)}}}
{{{d = sqrt(4)}}}
{{{d = 2}}}
So, pq not = qr.