В треугольнике ABC угол B - тупой, CH - высота, угол ABC равен 158 градусов. Угол BAC равен 14 градусам. Найдите угол ACH. ответ дайте в градусах.

Дано :

∆АВС.

∠АВС = 158°.

СН — высота.

∠ВАС = 14°.

Найти :

∠АСН = ?

Так как ∠АВС — тупой, то ∆АВС — тупоугольный треугольник (по определению).

В тупоугольном треугольнике один угол тупой, а два угла острые (следствие из теоремы о сумме углов треугольника).

Следовательно —

∠ВАС и ∠ВСА — острые.

Помимо этого —

В тупоугольном треугольнике высоты, выходящие из вершин острых углов, лежат вне треугольника.

То есть высота СН — лежит вне треугольника.

Рассмотрим прямоугольный ∆АСН (так как ∠АНС = 90° по условию).

Сумма острых углов прямоугольного треугольника равна 90°.

То есть —

∠НАС + ∠АСН = 90°

∠АСН = 90° - ∠НАС

∠АСН = 90° - 14°

∠АСН = 76°.

76°.

Essay on Sports
Hello, folks! Have you ever heard of this well-known saying: “A sound mind in a sound body"? I think the answer in most cases is “yes”. So, we’re discussing the importance of sports today.
Not so long ago sports was really important part of our day to day life. But with the rising popularity of television, the Internet and video games, sports and exercises are not so important anymore. There is a reason why we should do sports on daily basis. Going in for sports means to be energetic and healthy. While people who are not keen on it are often seen struggling with illnesses in their adulthood, such as diabetes, obesity etc; Moreover, it helps us not only to improve our body but our mind as well.
People who are good at sports also show a lifestyle of excellent quality. They are more active, can make better decisions and find the way out of stressful situations. Not encouraging children to take part in sports activities can make them lazy and peevish as they turn into grown-ups. Also, people who participate in sports competitions are more successful. It is a well-known fact that a man involved in sports activity from the very young age develops a very strong personality. He cultivates what is called the leadership.

Essay on Sports

Hello, folks! Have you ever heard of this well-known saying: “A sound mind in a sound body"? I think the answer in most cases is “yes”. So, we’re discussing the importance of sports today.

Not so long ago sports was really important part of our day to day life. But with the rising popularity of television, the Internet and video games, sports and exercises are not so important anymore. There is a reason why we should do sports on daily basis. Going in for sports means to be energetic and healthy. While people who are not keen on it are often seen struggling with illnesses in their adulthood, such as diabetes, obesity etc; Moreover, it helps us not only to improve our body but our mind as well.

People who are good at sports also show a lifestyle of excellent quality. They are more active, can make better decisions and find the way out of stressful situations. Not encouraging children to take part in sports activities can make them lazy and peevish as they turn into grown-ups. Also, people who participate in sports competitions are more successful. It is a well-known fact that a man involved in sports activity from the very young age develops a very strong personality. He cultivates what is called the leadership.