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ash2326Best ResponseYou've already chosen the best response.2
@virtus There maybe a direct formula for this, but I don't remember that. I'll start from the basics. Do you have time for this?
 one year ago

waterineyesBest ResponseYou've already chosen the best response.0
Can I give the formula??
 one year ago

ash2326Best ResponseYou've already chosen the best response.2
Thanks virtus, let's begin. I recommend that you understand the problem, you'll remember it always. What do you want?
 one year ago

waterineyesBest ResponseYou've already chosen the best response.0
Go ahead @ash2326 ..
 one year ago

ash2326Best ResponseYou've already chosen the best response.2
dw:1341645333105:dw Let AB be our line and C is the point for which we need to find the perpendicular distance. Do you understand the diagram?
 one year ago

ash2326Best ResponseYou've already chosen the best response.2
You can see that the perpendicular line from the point C is intersecting the line AB at a point. Let it be D If we could find the coordinates of D, then we can easily find the distance. do you have any ideas what should we do?
 one year ago

virtusBest ResponseYou've already chosen the best response.2
find the Point Of Intersection
 one year ago

ash2326Best ResponseYou've already chosen the best response.2
Yeah:) @virtus For that we need to find the equation of the line CD, do you have any idea how to do that?
 one year ago

virtusBest ResponseYou've already chosen the best response.2
well you know what point C is and the gradient of line CD would be 1/ gradient of line AB
 one year ago

virtusBest ResponseYou've already chosen the best response.2
oh wait do we know what C is ?
 one year ago

ash2326Best ResponseYou've already chosen the best response.2
Awesome:D Could you do that? We have AB as \(x+3y5=0\) Yeah we know C as (0, 5)
 one year ago

ash2326Best ResponseYou've already chosen the best response.2
Oops, You made a mistake I can see that perpendicular line's slope is same as AB, it's to be 1/ slope AB Check again :)
 one year ago

ash2326Best ResponseYou've already chosen the best response.2
No problem, :D find it again?
 one year ago

virtusBest ResponseYou've already chosen the best response.2
y5 =3(x0) y=3x +5 3xy+5=0
 one year ago

ash2326Best ResponseYou've already chosen the best response.2
Correct:D Now find the intersection of the line (3xy+5=0) and (x+3y5=0) this will give us D
 one year ago

ash2326Best ResponseYou've already chosen the best response.2
Great work:D now find the distance between (0, 5) and (1, 2) using distance formula.
 one year ago

ash2326Best ResponseYou've already chosen the best response.2
That will be the perpendicular distance:D
 one year ago

virtusBest ResponseYou've already chosen the best response.2
ngawwwwwww! I SEE!!!! so that's how you do it ;) oh btw i got square root 10
 one year ago

ash2326Best ResponseYou've already chosen the best response.2
Yeah, that's correct:D Great work btw:D
 one year ago

virtusBest ResponseYou've already chosen the best response.2
thanks so much for your invaluble help @ash2326 :D
 one year ago

ash2326Best ResponseYou've already chosen the best response.2
@virtus you did all the work. I just guided you:D You are a good student:D
 one year ago

dpaIncBest ResponseYou've already chosen the best response.0
you can also use the formula from analytic geometry that the distance from a given point to a given line in general form \(\large Ax+By+C=0 \) is given by Distance = \(\large \frac{Ax_0+By_0+C}{\pm \sqrt{A^2+B^2}} \) where \(\ (x_0, y_0) \) are the coordinates of the given point.
 one year ago
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