A triangle has sides A, B, and C. The angle between sides A and B is #pi/12#. If side C has a length of #2 # and the angle between sides B and C is #pi/12#, what is the length of side A?

1 Answer
Arnab C.
Mar 5, 2016

The length of side A is 2.

Explanation:

If you draw the triangle, you will notice that it's an isosceles triangle(a triangle having two equal sides or angles). The two angles created between A & B and B & C are the same. And a property of isosceles triangle is that if two angles are equal then the sides opposite to those angles are also equal. Here the side opposite to the angle between A&B is C and the side opposite to the angle B&C is A. So A=C, therefore A=2.

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