Find the perimeter of the polygons with vertices to the given points. 1.(2,3),(5,7),(-3,4)?

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Answer 1 · 2018-07-28T02:10:42

$color(blue)("Perimeter of the triangle " = color(green)( sqrt 73 + sqrt 26 + 5 ~~ 18.643$

Given polygon is a triangle as it has only three vertices.

$"Given :" A(2,3), B(5,7), C(-3,4)$

Using distance formula we can find the lengths of the sides

$d = sqrt((x_2-x_1)^2 + (y_2 - y_1)^2)$

$a = sqrt((5 - -3)^2 + (7-4)^2) = sqrt 73$

$b = sqrt((-3-2)^2 + (4-3)^2) = sqrt 26$

$c = sqrt((2-5)^2 + (7-3)^2) = 5$

$color(blue)("Perimeter of the triangle " = p = (a + b + c)$

$color(green)(p = sqrt 73 + sqrt 26 + 5 ~~ 18.643$