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 \(\angle A=68\degree\) en \(\angle B=60\degree\text{.}\) 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 \(\angle A+\angle B+\angle C=180\degree\text{.}\) 1p ○ Dus \(\angle C=180\degree-\angle A-\angle B\text{.}\) 1p ○ \(\angle C=180\degree-68\degree-60\degree=52\degree\text{.}\) 1p 3p b Gegeven is \(\triangle P\kern{-.8pt}Q\kern{-.8pt}R\) met \(\angle Q=31\degree\) en \(\angle R=39\degree\text{.}\) 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 \(\angle Q+\angle R+\angle P=180\degree\text{.}\) 1p ○ Dus \(\angle P=180\degree-\angle Q-\angle R\text{.}\) 1p ○ \(\angle P=180\degree-31\degree-39\degree=110\degree\text{.}\) 1p |