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Aleksandr [31]
3 years ago
9

(8,2) (8,6) (6,6) what is the perimeter

Mathematics
1 answer:
lana [24]3 years ago
5 0
Since there are 3 lines (triangle), perimeter is simply the sum of those sides
find each side using distance (d) formula:
(d) =  \sqrt{( {(x2 - x1)}^{2} +  {(y2 - y1)}^{2}  )}
where two points of the line lie at (x1, y1) and (x2, y2)
let's name the points of our triangle to make it easier: A = (8, 2), B = (8, 6), C = (6, 6)

d(ab) =  \sqrt{( {(8 - 8)}^{2} +  {(6 - 2)}^{2}  )}  \\  =  \sqrt{ {4}^{2} }  = 4
d(bc) =  \sqrt{( {(6 - 8)}^{2} +  {(6 - 6)}^{2})} \\  =  \sqrt{{2}^{2} }  = 2
d(ac) =  \sqrt{( {(6 - 8)}^{2} +  {(6 - 2)}^{2}  )} \\  =  \sqrt{( {2}^{2} +  {4}^{2}) }  =  \sqrt{(4 + 16)}  \\  =  \sqrt{20}  = 2 \sqrt{5}  = 4.47
So now for P add AB + BC + AC = 4+2+4.47
P = 10.47 units squared

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