Please help with step by step instructions

Step-by-step explanation:

This is classic right triangle trig.  Let's identify the sides in this triangle according to the values they have been given.  The longest side and the side across from the right angle is always the hypotenuse, so the hypotenuse measures 12.  The side measuring 5 then is adjacent to the angle x.  The side across from it is one we do not need to know (but could solve for if we had to using Pythagorean's Theorem!).  The trig ratio that relates an angle to its hypotenuse and adjacent side is the cosine of the angle:

In order to find a missing angle on your calculator, you'll use the 2nd button and the cos button.  On your screen you'll see this:

 and after the parenthesis, enter in 5/12 and hit "enter" to get the angle.  It's 65.4 degrees.  If you didn't get that, check your calculator to make sure you're not in radian mode!!!

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