Friday, December 23, 2011

Find the perimeter of the triangle whose sides are (1,2) , (3,4) and (-1,5)

Given the perimeter whose edges are the point A(1,2),
B(3,4) and C(-1,5)


We need to find the perimeter of the
triangle.


First we need to find the length of the
sides


==> We will use the distance between two
points formula to calculate the length of the
sides.


==> AB = sqrt( 3-1)^2 + (4-2)^2 = sqrt(8) =
2sqrt2


==> BC = sqrt(3+1)^2 + (4-5)^2 =
sqrt(17)


==> AC = sqrt(1+1)^2+(2-5)^2 =
sqrt(13)


Then the perimeter
is:


P = AB + BC +
AC


  = 2sqrt2 + sqrt17 +
sqrt13


= 2.83 + 4.12 + 3.61 =
10.56 ( approx.)

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