What is the perimeter of a triangle with corners at #(7 ,3 )#, #(8 ,5 )#, and #(3 ,4 )#?

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Answer 1 · 2018-01-18T04:38:20

Perimeter #P_t = (a + b + c) = 5.099 + 4.1231 + 2.2361 = color(purple)(11.5831)#

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Perimeter of triangle #P_t = a + b + c# where a, b, c are the lengths of the three sides.

Distance formula given the coordinates of two points is

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

#a = sqrt((3-8)^2 + (4-5)^2) = 5.099#

#b = sqrt((7-3)^2 + (3-4)^2) = 4.1231#

#c = sqrt((8-7^2 + (5-3)^2) = 2.2361#

Perimeter #P_t = (a + b + c) = 5.099 + 4.1231 + 2.2361 = color(purple)(11.5831)#