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 #7 # and the angle between sides B and C is #pi/12#, what is the length of side A?

Answer 1

Anna Andrews

This is an isosceles #triangle ABC# with #angle C=angle A=pi/12#,

with equal opposite sided c = AB = 7 = BC = a..

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Answer 2

Adam Aguirre

Using the Law of Cosines, the length of side A can be calculated as follows:

[ A = \sqrt{B^2 + C^2 - 2BC \cdot \cos(\theta)} ]

Where ( A ) is the length of side A, ( B ) is the length of side B, ( C ) is the length of side C, and ( \theta ) is the angle between sides B and C.

Given that ( B ) has a length of 7 and the angle between sides B and C is ( \frac{\pi}{12} ), we can calculate ( A ) using the Law of Cosines.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.