Question

Question #6c18b

Answer 1

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.

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`