Výpočet trojúhelníku ELF
Vypočítej zbývající strany a úhly trojúhelníku:
\( ELF \), kde \( \left|EL\right|=13 \) mm, \( \left |\measuredangle FEL \right| = 59°, \left |\measuredangle EFL \right| = 103° \)
\( \left |EF \right|^{2} = \left |EL \right|^{2} + \left |FL \right|^{2} − 2\left |EL \right| \left |FL \right|\textrm{cos}\ \left |\measuredangle ELF \right| \)
\( \left |EF \right| = \sqrt {\left |EL \right|^{2} + \left |FL \right|^{2} − 2\left |EL \right| \left |FL \right|\textrm{cos}\ \left |\measuredangle ELF \right|} \)
\( \left |EF \right| = \sqrt{13^{2} + 11,4^{2} − 2 · 13 · 11,4 · \textrm{cos}\ 18°} \)
\( \left |EF \right| ≐ 4,1\ mm \)
\( \left |EF \right|^{2} = \left |EL \right|^{2} + \left |FL \right|^{2} − 2\left |EL \right| \left |FL \right|\textrm{cos}\ \left |\measuredangle FEL \right| \)
\( \left |EF \right| = \sqrt {\left |EL \right|^{2} + \left |FL \right|^{2} − 2\left |EL \right| \left |FL \right|\textrm{cos}\ \left |\measuredangle FEL \right|} \)
\( \left |EF \right| = \sqrt{13^{2} + 11,4^{2} − 2 · 13 · 11,4 · \textrm{cos}\ 59°} \)
\( \left |EF \right| ≐ 4,1\ mm \)
\( \left |EF \right|^{2} = \left |EL \right|^{2} + \left |FL \right|^{2} − 2\left |EL \right| \left |FL \right|\textrm{cos}\ \left |\measuredangle ELF \right| \)
\( \left |EF \right| = \sqrt {\left |EL \right|^{2} + \left |FL \right|^{2} − 2\left |EL \right| \left |FL \right|\textrm{cos}\ \left |\measuredangle ELF \right|} \)
\( \left |EF \right| = \sqrt{13^{2} + 11,4^{2} − 2 · 13 · 11,4 · \textrm{cos}\ 90°} \)
\( \left |EF \right| ≐ 4,1\ mm \)
\( \left |EF \right|^{2} = \left |EL \right|^{2} + \left |FL \right|^{2} − 2\left |EL \right| \left |FL \right|\textrm{cos}\ \left |\measuredangle EFL \right| \)
\( \left |EF \right| = \sqrt {\left |EL \right|^{2} + \left |FL \right|^{2} − 2\left |EL \right| \left |FL \right|\textrm{cos}\ \left |\measuredangle EFL \right|} \)
\( \left |EF \right| = \sqrt{13^{2} + 11,4^{2} − 2 · 13 · 11,4 · \textrm{cos}\ 103°} \)
\( \left |EF \right| ≐ 4,1\ mm \)