Getal & Ruimte (13e editie) - 1 havo/vwo
'Som hoeken is 180 graden'.
| 1 havo/vwo | 5.6 Hoekensom driehoek |
opgave 13p a Gegeven is \(\triangle A\kern{-.8pt}B\kern{-.8pt}C\) met \(\angle B=69\degree\) en \(\angle C=65\degree\text{.}\) Som180GradenScherp 007e - Som hoeken is 180 graden - basis - 1ms a De som van de hoeken in \(\triangle A\kern{-.8pt}B\kern{-.8pt}C\) geeft \(\angle B+\angle C+\angle A=180\degree\text{.}\) 1p ○ Dus \(\angle A=180\degree-\angle B-\angle C\text{.}\) 1p ○ \(\angle A=180\degree-69\degree-65\degree=46\degree\text{.}\) 1p 3p b Gegeven is \(\triangle P\kern{-.8pt}Q\kern{-.8pt}R\) met \(\angle Q=36\degree\) en \(\angle R=37\degree\text{.}\) 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 \(\angle Q+\angle R+\angle P=180\degree\text{.}\) 1p ○ Dus \(\angle P=180\degree-\angle Q-\angle R\text{.}\) 1p ○ \(\angle P=180\degree-36\degree-37\degree=107\degree\text{.}\) 1p |