Find the value of X.

http://gyazo.com/b1832424bc432f3a943ddd65e61e66b1

Question

Find the value of X.

http://gyazo.com/b1832424bc432f3a943ddd65e61e66b1

mertsj · Answer

This is a special right triangle.  All sides are related.
The short leg is half the hypotenuse
The long leg = the short leg multiplied by sqrt3

anonymous · Answer

I still don't understand this question.. I am no good with triangles.

mertsj · Answer

You are supposed to find x.  That is the side that is opposite the 60 degree angle.  Do you see that?

anonymous · Answer

Yes.

mertsj · Answer

How long is the short leg?  The leg opposite the 30 degree angle?

anonymous · Answer

24?

mertsj · Answer

24 is the hypotenuse.  It is the longest side and it is opposite the right angle.

mertsj · Answer

The hypotenuse is always the longest side in a right triangle.  What is the short leg?

anonymous · Answer

12?

mertsj · Answer

Yes.  So to find the long leg, x, multiply 12 by sqrt3 and leave it in exact radical form so the answer is:
$$12\sqrt{3}$$

anonymous · Answer

Merts, 12 radical 3 is not an answer.

mertsj · Answer

Yes it is.

anonymous · Answer

My eyes deceived me, I'm sorry lol Thank you!

mertsj · Answer

Use the Pythagorean Theorem and figure it out then:
$$12^2+x^2=24^2$$