A problem in Trigonometry (Properties of Triangles) v3

[Wrichik Basu]

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

 

[Buffu]

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

This thread is marked solved. why ? did you worked this out or you still need help ?

 

[BvU]

As a physicist I notice your change in dimension somewhere halfway (I can point it out if you type it, not if you post a picture...) from length⁶ to length³ ...

 

[Wrichik Basu]

This thread is marked solved. why ? did you worked this out or you still need help ?

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]

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

Then it is bad of you to cross post on multiple sites.

 

[Wrichik Basu]

Then it is bad of you to cross post on multiple sites.

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.

 

[Buffu]

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.

You don't realize you will waste time of people who will look at this post thinking you need help.

 

[Drakkith]

Thread locked for moderation.

 

[Drakkith]

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.

We can't stop you from posting on multiple forums, but unfortunately you've probably just lost the help of any of our regular homework helpers that happen to stumble across this thread or that hear about this. As Buffu said, you're mostly just wasting peoples' time.

Thread will remain locked as the problem is, obviously, solved.