Getal & Ruimte (13e 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 \(\angle M = 62\degree\) en \(\angle K = 73\degree \text{.}\) 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 \(\angle M + \angle K + \angle L = 180\degree \text{.}\) 1p ○ Dus \(\angle L = 180\degree - \angle M - \angle K \text{.}\) 1p ○ \(\angle L = 180\degree - 62\degree - 73\degree = 45\degree \text{.}\) 1p 3p b Gegeven is \(\triangle A\kern{-.8pt}B\kern{-.8pt}C\) met \(\angle A = 34\degree\) en \(\angle B = 37\degree \text{.}\) 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 ○ \(\angle C = 180\degree - 34\degree - 37\degree = 109\degree \text{.}\) 1p |