SOLUTION: A farmer is planning to fence off her triangler garden. She measures angle 1 to be 79°, and angle 2 to be 53°. The distance between angle 1 and angle 3 is 57 feet. The distance bet

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: A farmer is planning to fence off her triangler garden. She measures angle 1 to be 79°, and angle 2 to be 53°. The distance between angle 1 and angle 3 is 57 feet. The distance bet      Log On

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Question 1100634: A farmer is planning to fence off her triangler garden. She measures angle 1 to be 79°, and angle 2 to be 53°. The distance between angle 1 and angle 3 is 57 feet. The distance between angle 2 and angle 3 is 70feet. How much fencing does she need to buy.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Not precisely what you mean.
The side length OPPOSITE of angle 2 is 57 feet; and the side length OPPOSITE angle 1 is 70 feet.

Measure of angle 3 is 180-79-53=highlight_green%2848%29 degrees.

Now what you really need to find is the side length opposite of angle number 3, for which you can now use Law Of Cosines. Call this length, x.

57%5E2%2B70%5E2-2%2A57%2A70%2Acos%2848%29=x%5E2

x=sqrt%2857%5E2%2B70%5E2-2%2A57%2A70%2Acos%2848%29%29

The total amount of fencing will be 57%2B70%2Bx.