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Homework Statement
In any triangle ABC, prove that $$a^2 b^2 c^2 \left (\sin {2A} +\sin {2B} + \sin {2C} \right) = 32 \Delta ^3$$
Here ##\Delta ## means the area of the triangle.
The discussion revolves around a trigonometric identity related to triangle properties, specifically proving the equation involving the sides of a triangle and its area. The original poster presents a mathematical statement that requires proof, focusing on the relationship between the sides and angles of triangle ABC.
The discussion has evolved into a debate about the appropriateness of cross-posting on multiple forums. While some participants express concern over the potential waste of time for those offering help, others defend the practice as a means to gather diverse solutions. The thread has been locked, indicating that the original poster has claimed to solve the problem with help from another source.
There is a mention of a change in dimensional analysis within the problem, which raises questions about the correctness of the approach taken. The thread also reflects on the implications of seeking help across different platforms and the impact on community engagement.
Wrichik Basu said:Homework Statement
In any triangle ABC, prove that $$a^2 b^2 c^2 \left (\sin {2A} +\sin {2B} + \sin {2C} \right) = 32 \Delta ^3$$
Here ##\Delta ## means the area of the triangle.Homework Equations
The Attempt at a Solution
View attachment 203411
Buffu said:This thread is marked solved. why ? did you worked this out or you still need help ?
Wrichik Basu said:I worked it out with help from another website where I posted it.
https://math.stackexchange.com/ques...em-in-trigonometry-properties-of-triangles-v2
Buffu said:Then it is bad of you to cross post on multiple sites.
Wrichik Basu said:Of course I'll cross post, because previously by doing this, several times I've got several different correct ways to solve a single problem, which is interesting.
Wrichik Basu said:Of course I'll cross post, because previously by doing this, several times I've got several different correct ways to solve a single problem, which is interesting.