Find the missing side lengths. Leave your answer as radicals in simplest form.

Step-by-step explanation:

take 45 degree as reference angle

use sin rule

sin 45=opposite/hypotenuse

1/=x/2

do cross multiplication

x= *

x=2

x=2/

x=

pythagoras theorem

a^2+b^2=c^2

( )^2+y^2=(2 )^2

2+y^2=8

y^2=8-2

y=

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.