Solutions to cosine rule

Shows that any triangle with one angle and two sides invariant has at most 2 solutions. These solutions lie on a circle, and are real due to the solution of the cosine rule equation, quadratic in x. x^2 + 2bcos(theta) x (b^2- c^2) = 0 where b and c are the fixed sides of a triangle, and theta is the fixed angle. x is the variable other side.

 

oberon

 
Resource Type
Activity
Tags
circle  cosine  rule  theorem  triangle 
Target Group (Age)
19+
Language
English (United Kingdom)
 
 
GeoGebra version
4.2
Views
693
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