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Answer to Question #164878 in Trigonometry for Jankarlos
Question #164878
Explain why it is impossible to find an answer to this question:
Solve for angleT β³π ππ, givenΒ π=5.7ππ,Β π =3.8ππ,Β π‘=1.1ππ
Expert's answer
Rule: The side of a triangle is less than the sum of the other two sides.
With such data, the triangle β³π
ππ does not exist, since r>s+t (5.7>3.8+1.1)
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Comments
Use the Triangle Inequality theorem here. The sum of two sides of a triangle can't be smaller than the third side. In the given problem you can see that some of s and t = 3.8 + 1.1 = 4.9km This third side r = 5.7 km The given sides won't form a Triangle. The third side must always be smaller than the sum remaining two sides of a triangle.
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