Find the length of the third side of a triangular garden if two sides measure 8 feet and 12 feet and the included angle measures 50°.

≈ 9.197 feet  (rounded to the nearest hundredth)

Step-by-step explanation:

The LAW OF COSINES says:

We can use it to solve problems like this where we need to find a side given two sides and an angle ("SAS").

Let's plug in our givens to this equation:

     you can find cos(50°) in a calculator.

                                                         make sure it's set on degrees and not                                                                   radians.

≈ 9.197 feet