Question

100 БАЛЛОВ Вычисли радиус окружности, описанной около треугольника, если один из его углов равен 30°, а противолежащая ему сторона равна 24 см. (Если в ответе корней нет, то под знаком корня пиши 1.)

Answer 1

R=24/2sin30 =24/2*1/2=24

Answer 2

Ответ:

Объяснение:

Используя теорему синусов

а/sinA = b/sinB = c/sinC = 2R

24/sin30= 2R

24/0,5= 2R=48

R = 48:2=24

R = 24

Answer 3

Calculation of the Radius of the Circumscribed Circle

To calculate the radius of the circumscribed circle of a triangle, we can use the formula:

Radius = (Side Length) / (2 * sin(Angle))

Given that one of the angles of the triangle is 30° and the length of the side opposite to it is 24 cm, we can substitute these values into the formula.

Radius = 24 cm / (2 * sin(30°))

Now, let's calculate the value of the radius.

Radius = 24 cm / (2 * 0.5) = 24 cm / 1 = 24 cm

Therefore, the radius of the circumscribed circle of the triangle is 24 cm.

Please note that there were no relevant search results available to cite for this specific calculation.