Getal & Ruimte (13e editie) - 1 havo/vwo
'Som hoeken is 180 graden'.
| 1 havo/vwo | 5.6 Hoekensom driehoek |
opgave 13p a Gegeven is \(\triangle K\kern{-.8pt}L\kern{-.8pt}M\) met \(\angle L=63\degree\) en \(\angle M=51\degree\text{.}\) Som180GradenScherp 007e - Som hoeken is 180 graden - basis 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 ○ \(\angle K=180\degree-63\degree-51\degree=66\degree\text{.}\) 1p 3p b Gegeven is \(\triangle K\kern{-.8pt}L\kern{-.8pt}M\) met \(\angle L=34\degree\) en \(\angle M=37\degree\text{.}\) Som180GradenStomp 007f - Som hoeken is 180 graden - basis b 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 ○ \(\angle K=180\degree-34\degree-37\degree=109\degree\text{.}\) 1p |