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 \(\angle A = 64\degree\) en \(\angle B = 53\degree \text{.}\) Som180GradenScherp 007e - Som hoeken is 180 graden - basis - 0ms 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 ○ \(\angle C = 180\degree - 64\degree - 53\degree = 63\degree \text{.}\) 1p 3p b Gegeven is \(\triangle P\kern{-.8pt}Q\kern{-.8pt}R\) met \(\angle Q = 38\degree\) en \(\angle R = 31\degree \text{.}\) 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 ○ \(\angle P = 180\degree - 38\degree - 31\degree = 111\degree \text{.}\) 1p |