Question 513821
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Of course it is possible, and the perimeter is immaterial.  The perimeter could be 3 nanometers or 17 light-years -- we don't care.


Recall that the sum of the interior angles of any triangle is *[tex \Large 180^\circ].  So, let *[tex \Large k] be an arbitrary constant of proportionality and given that the ratio of the angles is given as 2:2:8, we can say:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 2k\ +\ 2k\ +\ 8k\ =\ 180]


Solve for *[tex \Large k] and then calculate *[tex \Large 2k] and *[tex \Large 8k] to get the measure of the three angles.  Technically, there is no "the smallest" angle since this turns out to be an isosceles triangle with the largest angle at the apex.  However, the value of *[tex \Large 2k] should suffice to answer your question.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
My calculator said it, I believe it, that settles it
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