Question #6c18b

1 Answer
Jan 23, 2018

Lengths of each side of the polygon are

#color(blue)(a = 5, b ~~ 3.6, c ~~3.6, d ~~ 1.4, e ~~ 5.4)#

Explanation:

A polygon that does not have all sides equal and all angles equal. A polygon is "regular" only when all angles are equal and all sides are equal, otherwise it is irregular.

Regular Pentagon.enter image source here

Distance between two points is given by the formula

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

Let the sides be a, b, c, d & e.

#a = sqrt((-3+3)^2+(2+3)^2) = sqrt25 = 5#

#b = sqrt((0+3)^2+(4-2)^2) = sqrt 13 ~~ 3.6#

#c = sqrt((2-0)^2 + (1-4)^2)) = sqrt 13 ~~ 3.6#

#d = sqrt((2-2)^2+(-1-1)^2) = sqrt2 ~~1.4#

#e = sqrt((2+3)^1 + (-1+3)^2) = sqrt 29 ~~ 5.4#