Getal & Ruimte (12e editie) - havo wiskunde B
'Som hoeken is 180 graden'.
| 1 havo/vwo | 5.6 Hoekensom driehoek |
opgave 13p a Gegeven is \(\triangle K\kern{-.8pt}L\kern{-.8pt}M\) met \(\angle L = 53\degree\) en \(\angle M = 69\degree \text{.}\) Som180GradenScherp 007e - Som hoeken is 180 graden - basis - 0ms a De som van de hoeken in \(\triangle K\kern{-.8pt}L\kern{-.8pt}M\) geeft \(\angle L + \angle M + \angle K = 180\degree \text{.}\) 1p ○ Dus \(\angle K = 180\degree - \angle L - \angle M \text{.}\) 1p ○ \(\angle K = 180\degree - 53\degree - 69\degree = 58\degree \text{.}\) 1p 3p b Gegeven is \(\triangle A\kern{-.8pt}B\kern{-.8pt}C\) met \(\angle B = 36\degree\) en \(\angle C = 33\degree \text{.}\) Som180GradenStomp 007f - Som hoeken is 180 graden - basis - 2ms b 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 ○ \(\angle A = 180\degree - 36\degree - 33\degree = 111\degree \text{.}\) 1p |