um la ▁K is os onk ole ▁( 1 9 1 1 – 1 9 9 7 ), ▁U g and an ▁politician ▁and ▁activ ist ▁in ▁women ' s ▁organizations ▁Mak azi we ▁Mand ela ▁( born ▁P um la ▁Mak azi we ▁Mand ela - A mu ah , ▁ 1 9 5 4 ), ▁daughter ▁of ▁Nelson ▁Mand ela ▁and ▁Ev ely n ▁M ase <0x0A> </s> ▁In ▁trig on ometry , ▁M oll we ide ' s ▁formula , ▁sometimes ▁referred ▁to ▁in ▁older ▁texts ▁as ▁M oll we ide ' s ▁equations , ▁named ▁after ▁Karl ▁M oll we ide , ▁is ▁a ▁set ▁of ▁two ▁relationships ▁between ▁sides ▁and ▁angles ▁in ▁a ▁triangle . ▁ ▁It ▁can ▁be ▁used ▁to ▁check ▁the ▁consist ency ▁of ▁solutions ▁of ▁tri angles . ▁ ▁Let ▁a , ▁b , ▁and ▁c ▁be ▁the ▁lengths ▁of ▁the ▁three ▁sides ▁of ▁a ▁triangle . ▁Let ▁α , ▁ β , ▁and ▁ γ ▁be ▁the ▁measures ▁of ▁the ▁angles ▁opposite ▁those ▁three ▁sides ▁respectively . ▁ ▁M oll we ide ' s ▁formula ▁states ▁that ▁▁▁▁ ▁and ▁▁▁▁ ▁Each ▁of ▁these ▁ident ities ▁uses ▁all ▁six ▁parts ▁of ▁the ▁triangle — the ▁three ▁angles ▁and ▁the ▁lengths ▁of ▁the ▁three ▁sides . ▁ ▁See ▁also ▁▁ ▁Law ▁of ▁s ines ▁ ▁Law ▁of ▁cos ines ▁ ▁Law ▁of ▁tang ents ▁ ▁Law ▁of ▁cot ang ents ▁ ▁References ▁ ▁Further ▁reading ▁ ▁H . ▁Arthur ▁De ▁Kle ine , ▁" Proof ▁Without