Question 1193805: Angle Z is the right angle.For the 30°-60°-90° triangle suppose that XY = 2a.
Find XZ AND YZ
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617)   (Show Source):
You can put this solution on YOUR website! depends which way to draw and label
You could arrange this as angle at Z, 90 degrees; angle at X, 30 degrees; angle at Y, 60 degrees; and if XY is 2a, then because of what you know about this kind of special right triangle, YZ is a. Also because what you know of this special triangle, you can find or solve for XZ.
Answer by ikleyn(52785)  (Show Source):
You can put this solution on YOUR website! .
XY is the hypotenuse;
the shorter leg is half the hypotenuse, i.e. " a ";
the longer leg is  ,
but from the given data we can not determine, which one of the two legs is shorter, and which is longer.
It is BECAUSE the problem posed INACCURATELY in your post.
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