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 \(\angle R=55\degree\) en \(\angle P=68\degree\text{.}\) 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 ○ \(\angle Q=180\degree-55\degree-68\degree=57\degree\text{.}\) 1p 3p b Gegeven is \(\triangle P\kern{-.8pt}Q\kern{-.8pt}R\) met \(\angle R=31\degree\) en \(\angle P=37\degree\text{.}\) Som180GradenStomp 007f - Som hoeken is 180 graden - basis - 4ms b 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 ○ \(\angle Q=180\degree-31\degree-37\degree=112\degree\text{.}\) 1p |