A triangle has sides A, B, and C. The angle between sides A and B is #(5pi)/6#. If side C has a length of #2 # and the angle between sides B and C is #pi/12#, what are the lengths of sides A and B?
1 Answer
A = B = 1.035
Explanation:
This one is deceptively easy, I think.
You know that the interior angles of a triangle add up to
...this comes out to
So you know you have an isosceles triangle, and therefore sides A and B are equal.
From your equilateral triangle, you can create two congruent right triangles, with hypotenuse A (or B), and base of length
So now, using just a little trig, we know:
...since
Therefore,