Find the missing lengths. leave your answers in simplest radical form

Hey there!!

Looking at the figure, we will know that this is a right-angle triangle and we already have two angles:

60 and 90.

We know that the total sum of angles in a triangle is 180.

Hence, the third angle is 180 - ( 90 + 60 )

... 180 - 150

... 30

The angles are 30-60-90

And in this type of triangle, the height is 'x', base is '√3x' and the hypotenuse is '2x'

The height is given as 'y' then the base would become '√3y' and the hypotenuse would be '2y'

The base is given as 5

Hence, √3y = 5

And y = 5/√3

The height is therefore, 5/√3.

Now, the hypotenuse is 2y, hence, the hypotenuse would become :

... 2 ( 5/√3)

... 10/√3

Hope my answer helps!

Happy Thanksgiving! :)

i think it is c hope that

step-by-step explanation:

rectangles are made up of 4 right angles, which means that a side and a base meet perpendicular to one another.   their slopes then have to reflect perpendicular slopes.   perpendicular slopes are opposite reciprocals of one another.   for example, if the slope of one line is +2/3, then the perpendicular slope to that would be -3/2.   so we look for that combination in our choices.

all of them satisfy that condition (so what's the question, i guess? )