Question 1174782
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The necessary and sufficient condition for the line  TO  REPRESENT  a  (30°,60°,90°)  triangle is  THIS:


<pre>
    1)  The  longest side is twice the shortest side,

and


   2)  The square of the longest side is equal to the sum of the squares of two other sides.
</pre>

So, &nbsp;for each optional line check these two conditions.



Where you find these conditions &nbsp;1) &nbsp;and &nbsp;2) &nbsp;DISSATISFIED &nbsp;(or at least &nbsp;ONE &nbsp;dissatisfied), 
that line &nbsp;DOES &nbsp;NOT &nbsp;represent &nbsp;(30°,60°,90°) &nbsp;triangle.