<PRE><B>Question 447784</B>
.
Is a triangle with sides 9 units, 16 units and 25 units a right triangle ?
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Good question.  &amp;nbsp;&amp;nbsp;It is a huge trap, &amp;nbsp;instead.


&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;Notice that &amp;nbsp;&amp;nbsp;9 + 16 = 25,


so the triangle inequality is violated, &amp;nbsp;which means that a triangle
with the side lengths as described &amp;nbsp;DOES &amp;nbsp;NOT &amp;nbsp;EXIST &amp;nbsp;and &amp;nbsp;CAN &amp;nbsp;NOT &amp;nbsp;EXIST.



&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;Ha - ha - ha.



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