SOLUTION: find the third side of a triangle from these data: 1) two side of equal length of 2700 miles; 2) the side are separated by 1 degree. 3) what is the length of the 3rd. side? 4)

Algebra ->  Triangles -> SOLUTION: find the third side of a triangle from these data: 1) two side of equal length of 2700 miles; 2) the side are separated by 1 degree. 3) what is the length of the 3rd. side? 4)      Log On


   



Question 388913: find the third side of a triangle from these data:
1) two side of equal length of 2700 miles;
2) the side are separated by 1 degree.
3) what is the length of the 3rd. side?
4) what is the formula to solve the problem?

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
This was done 1-2 days ago.
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The bisector of the 1º gives 2 right triangles.
1/2 the 3rd side = 2700*sin(0.5º) =~ 23.5616 miles
x2 =~ 47.12 miles
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Or, use the Cosine Law:
s^2 = 2700^2 + 2700^2 - 2*2700*2700*cos(1º)
Same answer.
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PS There is "a formula" to solve this problem, but it's the "hard way" to do it.
Many problems don't have a formula, you have to figure them out.