# A problem in Trigonometry (Properties of Triangles) v3

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1. May 12, 2017

### Wrichik Basu

1. The problem statement, all variables and given/known data

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.

2. Relevant equations

3. The attempt at a solution

2. May 12, 2017

### Buffu

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

3. May 12, 2017

### 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 ...

4. May 12, 2017

### Wrichik Basu

5. May 12, 2017

### Buffu

6. May 12, 2017

### Wrichik Basu

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.

7. May 12, 2017

### Buffu

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

8. May 12, 2017