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So here we are basically finding a hypotenuse. So we have... a^2+b^2=c^2 We have a and b of the sides, a is the distance of x, b is the distance of y. So... a=7 b=13 So if we put that in to our theorem, we get this. 7^2+13^2=c^2 Make sense?
good try @Headdesk ! unfortunately, pythagorean theorem is for triangles yes? this is the distance between two points.
Actually if you look at we do...|dw:1333490424609:dw| make sense now?
Igbasallote is right. So the we can simply use the distance between two points formula by subing the two coordinate values in- (-5,8) and (2,-5) x1,y1 x2, y2 d = sqrt (x2 - x1)^2 + (y2 - y1) ^2 d = sqrt (2--5)^2 + (-5-8)^2 d = sqrt (2+5)^2 + (-13)^2 type it into the calculator to see the answer which i will let u do.
@Headdesk you would be right if you were given the measure of the legs yes?
We are, as I explained in my first reply. We have our x values -5 and 2. The total difference between is 7. Therefore we have the x leg. We have our y values 8 and -5, the difference between which is 13. Therefore we have our y leg.
you used the solution for hypotenuse..but what are the values of these lines? you were not given a third point, thus you cannot determine the length of those legs. understand now? |dw:1333490867549:dw|
|dw:1333491007708:dw| Alright, everything along the vertical line x=-5 There is nothing we can do to change it. Everything along the perpendicular line is y=-5 Also, nothing to change it. Therefore when they meet the point is (-5, -5) Thus we have the distance.