Найти диаметр окружности, описаной около треугольника ABC,
если AB=√3 см, угол B=70°, угол A=50°
По теореме синусов, отношение стороны треугольника к синусу противолежащего угла равно двум радиусам описанной окружности=2R Найдем третий угол, против которого лежит известная сторона треугольника. Так как сумма углов треугольника равна 180°, угол С=180°-50°-70°=60°.
I love playing with a ball, but most of all I love football . As they say , football, soccer and football again ! I play this game from spring to late autumn in sportmaydachyku and school stadium. And in the winter I 'm in the indoor football hall of the sports complex. I was invited back our school physical education teacher , who leads classes there, too . Football - a very interesting game . It has a maximum speed , intelligence, accuracy reactions endurance. Whatever they said , and football coaches not only the feet but also the body as a whole. The players are also very hardened men chase a ball for the fresh air of early spring to late autumn. Also, football is a team game and develop unity and team spirit. And most of this game beckons me its unrivaled excitement! I am following the European and world football championship. I am very pleased that the last European Championship , Euro 2012, it was held in Ukraine and Poland. We are not daddy missed a single game on TV. Of course , I really hoped that the team of Ukraine will come out at least the quarterfinals . Unfortunately , this did not happen .
I love playing with a ball, but most of all I love football . As they say , football, soccer and football again ! I play this game from spring to late autumn in sportmaydachyku and school stadium. And in the winter I 'm in the indoor football hall of the sports complex. I was invited back our school physical education teacher , who leads classes there, too . Football - a very interesting game . It has a maximum speed , intelligence, accuracy reactions endurance. Whatever they said , and football coaches not only the feet but also the body as a whole. The players are also very hardened men chase a ball for the fresh air of early spring to late autumn. Also, football is a team game and develop unity and team spirit. And most of this game beckons me its unrivaled excitement! I am following the European and world football championship. I am very pleased that the last European Championship , Euro 2012, it was held in Ukraine and Poland. We are not daddy missed a single game on TV. Of course , I really hoped that the team of Ukraine will come out at least the quarterfinals . Unfortunately , this did not happen .
Найти диаметр окружности, описаной около треугольника ABC,
если AB=√3 см, угол B=70°, угол A=50°
По теореме синусов, отношение стороны треугольника к синусу противолежащего угла равно двум радиусам описанной окружности=2R
Найдем третий угол, против которого лежит известная сторона треугольника.
Так как сумма углов треугольника равна 180°,
угол С=180°-50°-70°=60°.
АВ:sin(60°)=(√3:√3)·2=2
2R=2 =D
ответ: диаметр описанной окружности равен 2см.