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 \(\angle K = 65\degree\) en \(\angle L = 53\degree \text{.}\) 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 \(\angle K + \angle L + \angle M = 180\degree \text{.}\) 1p ○ Dus \(\angle M = 180\degree - \angle K - \angle L \text{.}\) 1p ○ \(\angle M = 180\degree - 65\degree - 53\degree = 62\degree \text{.}\) 1p 3p b Gegeven is \(\triangle A\kern{-.8pt}B\kern{-.8pt}C\) met \(\angle A = 38\degree\) en \(\angle B = 34\degree \text{.}\) 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 \(\angle A + \angle B + \angle C = 180\degree \text{.}\) 1p ○ Dus \(\angle C = 180\degree - \angle A - \angle B \text{.}\) 1p ○ \(\angle C = 180\degree - 38\degree - 34\degree = 108\degree \text{.}\) 1p |