Finding Side Lengths of a Triangle Given Angles & Side a

  • Thread starter Thread starter ataglance05
  • Start date Start date
  • Tags Tags
    Angles Triangle
AI Thread Summary
To find the lengths of sides b and c in a triangle with angles A=35 degrees, B=40 degrees, and side a=3680 meters, the Law of Sines is applicable. First, calculate angle C using the sum of interior angles, which gives C=105 degrees. Then, apply the Law of Sines: a/sin(A) = b/sin(B) = c/sin(C). This allows for the calculation of sides b and c based on the known values. Using these formulas will yield the required side lengths.
ataglance05
Messages
43
Reaction score
0
A triangle has an angle A=35 degrees and an angle B=40 degress and side a=3680 meters. What are the lengths of sides b&c?
 
Physics news on Phys.org
If this is a homework question, you need to at least show some work.
 
Sum of Interior Angles of Triangle;
Law of Sines.
 
law of sines is what u exactly need
 
I picked up this problem from the Schaum's series book titled "College Mathematics" by Ayres/Schmidt. It is a solved problem in the book. But what surprised me was that the solution to this problem was given in one line without any explanation. I could, therefore, not understand how the given one-line solution was reached. The one-line solution in the book says: The equation is ##x \cos{\omega} +y \sin{\omega} - 5 = 0##, ##\omega## being the parameter. From my side, the only thing I could...
Back
Top