Kosinussatz

Sind a , b , c MathType@MTEF@5@5@+= feaagGart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamyyaiaacY cacaqGGaGaamOyaiaacYcacaqGGaGaam4yaaaa@3B50@ die Seiten eines beliebigen Dreiecks A B C MathType@MTEF@5@5@+= feaagGart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaacbaGaa8xqai aa=jeacaWFdbaaaa@3847@ , dann gilt der Kosinussatz : a 2 = b 2 + c 2 − 2 b c ⋅ cos α , b 2 = a 2 + c 2 − 2 a c ⋅ cos β c 2 = a 2 + b 2 − 2 a b ⋅ cos γ MathType@MTEF@5@5@+= feaagGart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGceaqabeaacaWGHb WaaWbaaSqabeaacaaIYaaaaOGaeyypa0JaamOyamaaCaaaleqabaGa aGOmaaaakiabgUcaRiaadogadaahaaWcbeqaaiaaikdaaaGccqGHsi slcaaIYaGaamOyaiaadogacqGHflY1ciGGJbGaai4Baiaacohaiiaa cqWFXoqycaGGSaaabaGaamOyamaaCaaaleqabaGaaGOmaaaakiabg2 da9iaadggadaahaaWcbeqaaiaaikdaaaGccqGHRaWkcaWGJbWaaWba aSqabeaacaaIYaaaaOGaeyOeI0IaaGOmaiaadggacaWGJbGaeyyXIC Taci4yaiaac+gacaGGZbGae8NSdi