c^2 = a^2+ b^2- 2* a* b* cos(α)$$c^{2}$$ = $$a^{2}+b^{2}-2\cdot a\cdot b\cdot cos(\alpha)$$
2* a* b* cos(α) = a^2+ b^2- c^2$$2\cdot a\cdot b\cdot cos(\alpha)$$ = $$a^{2}+b^{2}-c^{2}$$
cos(α) = | ( a^2+ b^2- c^2) |
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| / 2/ a/ b |
$$cos(\alpha)$$ = $$\frac{a^{2}+b^{2}-c^{2}}{2\cdot a\cdot b}$$ α = arccos( | ( a^2+ b^2- c^2) |
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| / 2/ a/ b |
)$$\alpha$$ = $$arccos(\frac{a^{2}+b^{2}-c^{2}}{2\cdot a\cdot b})$$ α = arccos( | ( 4.68^2+ 4.71^2- 3.52^2) |
|
| / 2/ 4.68/ 4.71 |
)$$\alpha$$ = $$arccos(\frac{4.68^{2}+4.71^{2}-3.52^{2}}{2\cdot 4.68\cdot 4.71})$$ α = arccos( | (21.9024+ 4.71^2- 3.52^2) |
|
| / 2/ 4.68/ 4.71 |
)$$\alpha$$ = $$arccos(\frac{21.9024+4.71^{2}-3.52^{2}}{2\cdot 4.68\cdot 4.71})$$ α = arccos( | (21.9024+22.1841- 3.52^2) |
|
| / 2/ 4.68/ 4.71 |
)$$\alpha$$ = $$arccos(\frac{21.9024+22.1841-3.52^{2}}{2\cdot 4.68\cdot 4.71})$$ α = arccos( | (21.9024+22.1841-12.3904) |
|
| / 2/ 4.68/ 4.71 |
)$$\alpha$$ = $$arccos(\frac{21.9024+22.1841-12.3904}{2\cdot 4.68\cdot 4.71})$$ α = arccos( )$$\alpha$$ = $$arccos(\frac{31.6961}{2\cdot 4.68\cdot 4.71})$$ α = arccos( )$$\alpha$$ = $$arccos(\frac{31.6961}{44.0856})$$ α = arccos( )$$\alpha$$ = $$arccos(\frac{316961}{440856})$$ α = 44.03072$$\alpha$$ = $$44.03072$$