uitwerking

 Bereken $\angle ENM$ Neem $\Delta EMN$. Bereken $EN=2\sqrt{5}$, $MN=2\sqrt{2}$ en $EM=6$ Gebruik de cosinusregel. $6^2 = \left( {2\sqrt 5 } \right)^2 + \left( {2\sqrt 2 } \right)^2$ $- 2 \cdot 2\sqrt 5 \cdot 2\sqrt 2 \cdot \cos \left( {\angle N} \right)$ $36 = 20 + 8 - 8\sqrt {10} \cdot \cos \left( {\angle N} \right)$ $36 = 28 - 8\sqrt {10} \cdot \cos \left( {\angle N} \right)$ $8 = - 8\sqrt {10} \cdot \cos \left( {\angle N} \right)$ $\cos \left( {\angle N} \right) = \frac{8}{{ - 8\sqrt {10} }}$ $\angle N \approx 108,4^\circ$
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