Getal & Ruimte (13e editie) - havo wiskunde B
'Som hoeken is 180 graden'.
| 1 havo/vwo | 5.6 Hoekensom driehoek |
opgave 13p a Gegeven is \(\triangle P\kern{-.8pt}Q\kern{-.8pt}R\) met \(\angle R=59\degree\) en \(\angle P=65\degree\text{.}\) Som180GradenScherp 007e - Som hoeken is 180 graden - basis - 1ms a De som van de hoeken in \(\triangle P\kern{-.8pt}Q\kern{-.8pt}R\) geeft \(\angle R+\angle P+\angle Q=180\degree\text{.}\) 1p ○ Dus \(\angle Q=180\degree-\angle R-\angle P\text{.}\) 1p ○ \(\angle Q=180\degree-59\degree-65\degree=56\degree\text{.}\) 1p 3p b Gegeven is \(\triangle P\kern{-.8pt}Q\kern{-.8pt}R\) met \(\angle P=36\degree\) en \(\angle Q=32\degree\text{.}\) Som180GradenStomp 007f - Som hoeken is 180 graden - basis - 3ms b De som van de hoeken in \(\triangle P\kern{-.8pt}Q\kern{-.8pt}R\) geeft \(\angle P+\angle Q+\angle R=180\degree\text{.}\) 1p ○ Dus \(\angle R=180\degree-\angle P-\angle Q\text{.}\) 1p ○ \(\angle R=180\degree-36\degree-32\degree=112\degree\text{.}\) 1p |