Find the missing side lengths leave your answers as radicals In simplest form. PLEASE HELP ASAP!!

These are right triangles so we can use Pythagorean theorem to solve this.

the  Pythagorean theorem states that the hypotenuse of a right triangle, squared, is equal to the sum of the other 2 sides of the triangle, squared.

It can be expressed as so:

c^2=a^2+b^2 where c is the hypotenuse and a, b are the other 2 sides.

Therefore in number 11 6^2=x^2+y^2

36=x^2+y^2

for A, 3√3 / 2 is 2.59807621135 and y is 3. If we square both then they should equal 36 although if they don't then this answer is incorrect.

By doing this process for each answer you will see that

In D we finally see that the square root of 3 is 1.73205080757 and that number times 3 is 5.19615242271. y is 3 and 5.19615242271 squared comes out to 27 and 3 squared comes out to 9

27+9 = 36. Therefore by using the Pythagorean theorem, we found that D is correct

Because this involves a lot of typing and its 5:37 Am where i live ima let u do the next one alone but if u need help just follow my demonstration

Step-by-step explanation:

dc=6 square root of 3 and ac is 12 square root 3

c and d

step-by-step explanation:

square root of 3/2 = 18/c

cross multiply to get 18*2=√3*c

36/√3 * √3/√3 = c

c= 36*√3/3

c=12√3