SOLUTION: A walking path around the outside of a garden is shaped like a triangle. Two sides of the path that measures 32 ft and 39 ft form a 76 degree angle. If you walk around the entire p

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Question 993527: A walking path around the outside of a garden is shaped like a triangle. Two sides of the path that measures 32 ft and 39 ft form a 76 degree angle. If you walk around the entire path one time, how far have you walked?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
One could recognize this as a Law Of Cosines problem.
... Is that enough help for you?


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Let me say more thoroughly: This IS a Law of Cosines problem. You want the perimeter of the triangle, and for that, you want to find the last side of the triangle. That would be some number, say c. You have a perimeter which will be 32+39+c, and you use Law of Cosines to find c.

As a formula, Law of Cosines can be expressed a%5E2%2Bb%5E2-2%2Aab%2Acos%28gamma%29=c%5E2 in which gamma is opposite of side c.

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If you found c=44, then you did that part with the formula correctly. Now you should be able to evaluate the perimeter:
32%2B39%2B44