меньший катет АС=6см, больший катет ВС=12√3 см
Объяснение:
обозначим вершины треугольника А В С с прямым углом С катетами АС и ВС и гипотенузой АВ. Проекции катетов на гипотенузу образует высота СН проведённая из вершины прямого угла, поэтому СН перпендикулярно АВ. СН также делит ∆АВС на 2 прямоугольных треугольника АСН и СВН в которых АН, ВН, СН - катеты, а АС и ВС - гипотенузы. Он подобны между собой, так как высота проведённая из вершины прямого угла делит его на прямоугольные треугольники подобные между собой и каждый из них подобен ∆АВС. АВ=АН+ВН=6+18=24 см. Рассмотрим ∆АСН и ∆АВС. В ∆АСН АС является гипотенузой, а в ∆АВС - гипотенуза АВ, поэтому гипотенуза АС~ гипотенузе АВ. А также меньший катет ∆АСН АН~ АС(меньшему катету ∆АВС:
теперь подставим наши значения в эту пропорцию:
перемножим числитель и знаменатель соседних дробей между собой крест накрест и получим:
АС ²=6×24=144
АС=√144=12см
Теперь найдём катет ВС по теореме Пифагора:
ВС²=АВ²–АС²=24²–12²=576–144=432=12√3см
My family consists of four people: my lovely father, mother, elder brother and me.
My father’s name is Vladimir. He had been working as a deputy manager in the mining company, before he was pensioned off. Now he is 62 and takes care of my mother and our household. By the way, he had started cooking really great dishes after he retired, it's his favorite hobby.
My mother’s name is Olga. She is an IT manager in the treasure house. She has been working with computers for as long as I remember. I think she enjoys tinkering with them and making some changes in the software. She is 58, but still looks as if she's 48. Amazing!
My parents are kind but rather strict in educating their children and grandchildren. They always give me and my brother some good advice on how to live and share their life experience with us.
My elder brother works as a lawyer. His name is Denis. Now he lives with his own family in another country and I terribly miss our get-together time. He is quite handsome man with dark brown hair which has just started to go gray. Thank goodness, my sister-in-law is not a jealous woman. He is sincere and reliable. I can rely on him in any difficult situation. Also he is a 2–year–old girl proud father. Her name is Elizabeth, and she behaves like a real queen. She always demands attention of her parents and likes to boss around a little bit.
I can say that we’re a very amiable family. My parents understand us at first glance, and we help each other without further ado.
