Question 1198347
.
Determine whether it is possible to draw a triangle
given each set of information. Sketch all possible
triangles where appropriate. Calculate, then label, all
side lengths to the nearest tenth of a centimetre and
all angles to the nearest degree.
b=12.2cm, c=8.2cm, AngleC=34
~~~~~~~~~~~~~~~~~~


<pre>
Write the sine law identities

    {{{a/sin(A)}}} = {{{b/sin(B)}}} = {{{c/sin(C)}}}.


We have {{{c/sin(C)}}} = {{{8.2/sin(34^o)}}} = {{{8.2/0.5592}}} = 14.664.


So, {{{b/sin(B)}}} = 14.664,  or  sin(B) = {{{b/14.664}}} = {{{12.2/14.664}}} = 0.832  (rounded).


Since sin(B) is positive and less than 1, there are two possible values for the angle B measure.


You can find the measure of the angle B from sin(B) = 0.832 using your calculator (two possible values).


Doing this way, you will get two possible angles B,
and then you will get two possible angles C from A + B + C = 180 degrees
as  C = 180 - A - B.
</pre>

At this point, I will stop my explanations.


The rest is just your job.