SOLUTION: Two sides and an angle are given below. Determine whether the given information results in one​ triangle, two​ triangles, or no triangle at all. Solve any resulting​ triangle

Algebra ->  Trigonometry-basics -> SOLUTION: Two sides and an angle are given below. Determine whether the given information results in one​ triangle, two​ triangles, or no triangle at all. Solve any resulting​ triangle      Log On


   

Question 1207609: Two sides and an angle are given below. Determine whether the given information results in one​ triangle, two​ triangles, or no triangle at all. Solve any resulting​ triangle(s).
a=1, b=5, A=60degrees
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

given:
a=1, b=5, A=60degrees

using law of sine:
a%2Fsin%2860%29=b%2Fsin%28B%29
1%2Fsin%2860%29=5%2Fsin%28B%29
sin%28B%29=5sin%2860%29
sin%28B%29=5sqrt%283%29%2F2
B=sin%5E-1%285sqrt%283%29%2F2%29
B=sin%5E-1%285sqrt%283%29%2F2%29
B=1.5708+-+2.1451%2Ai+...not real solution
so, there are no+solutions and no+triangle