SOLUTION: For the 30°-60°-90° triangle shown, suppose that XY = 2a. Find XZ and YZ

Question 1193784: For the 30°-60°-90° triangle shown, suppose that
XY = 2a.
Find XZ and YZ
Answer by ikleyn(52790)   (Show Source): You can put this solution on YOUR website!
.
For the 30°-60°-90° triangle shown, suppose that
XY = 2a.
Find XZ and YZ
~~~~~~~~~~~~~~~~

Nothing is shown, and due to this reason, the problem is posed INCORRECTLY.

To be posed correctly, it must say what side is opposite to which angle.

At least, it must say which angle is right angle.

================

comment from student :   Angle Z is the right angle.

My response :   If so, then XY is the hypotenuse;

            the shorter leg is half the hypotenuse, i.e. " a ";

            the longer leg is   ,

but from the given data we still can not determine, which one of the two legs is shorter, and which is longer.

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