Question

Find the gradient of each side of this quadrilateral
(0,0) (12,5) (0,10) (-6,8)

I will draw it

Answer 1

gradient is another word for slope

to find the slope of each side, use the slope formula

m = (y2-y1)/(x2-x1)


So let's find the slope of the line going through (0,0) and (12,5)


m = (y2-y1)/(x2-x1)


m = (5-0)/(12-0)


m = 5/12


So the slope of the line that passes through the two points (0,0) and (12,5) is 5/12


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Now let's find the slope of the line going through (12,5) and (0,10)


m = (y2-y1)/(x2-x1)



m = (10-5)/(0-12)



m = 5/(-12)



m = -5/12



So the slope of the line that passes through the two points (12,5) and (0,10) is -5/12


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I'll let you do the rest.

Answer 2

OOOh yeah I remember doing that now thank you :) But how also does one go about finding the length of a side?

Answer 3

Use the distance formula


so for example, say we want to find the distance from (12,5) to (0,10)


d = sqrt((x2-x1)^2+(y2-y1)^2)


d = sqrt((0-12)^2+(10-5)^2)


d = sqrt((-12)^2+(5)^2)


d = sqrt(144+25)


d = sqrt(169)


d = 13


So exact distance between the two points (12,5) and (0,10) is 13 units.