Getal & Ruimte (12e editie) - havo wiskunde B
'Som hoeken is 180 graden'.
| 1 havo/vwo | 5.6 Hoekensom driehoek |
opgave 13p a Gegeven is \(\triangle A\kern{-.8pt}B\kern{-.8pt}C\) met \(\angle B=68\degree\) en \(\angle C=69\degree\text{.}\) Som180GradenScherp 007e - Som hoeken is 180 graden - basis a 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 ○ \(\angle A=180\degree-68\degree-69\degree=43\degree\text{.}\) 1p 3p b Gegeven is \(\triangle K\kern{-.8pt}L\kern{-.8pt}M\) met \(\angle L=39\degree\) en \(\angle M=32\degree\text{.}\) 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 ○ \(\angle K=180\degree-39\degree-32\degree=109\degree\text{.}\) 1p |