Question 270444
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Now there is an interesting metaphysical phenomenon -- a triangel.  One wonders how many triangels can dance on the head of a pin.  Is it one third the number of regular angels?


But, taking a wild guess and presuming you really meant tri<b><i>angle</i></b> ABC, let us proceed.


<b><i>Law of Sines</i></b>


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \frac{a}{\sin{A}}\ =\ \frac{b}{\sin{B}}\  =\ \frac{c}{\sin{C}}]


We know angle A and angle B, so we can calculate angle C by remembering that the sum of the interior angles of a triangle is 180 degrees, hence:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ C\ =\ 180\ -\ \left(24\ +\ 62\right)]


And we know the measure of side a, so:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \frac{21.4}{\sin{24}}\ =\ \frac{b}{\sin{62}}\  =\ \frac{c}{\sin{94}}]


The rest is just punching calculator buttons.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
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