Question

У трикутнику з кутом 120° сторони утворюють арифметичну прогресію з різницею 1 см. Знайти периметр трикутника

Answer 1

Теорема косінуса а квадрат дорівнює б квадрат плюс с квадрат мінус вс на косінус кута а
$a^{2}= b^{2} +c^{2} -b*c* cos \alpha$
$x^{2} =(x+1) ^{2} + (x+2) ^{2} - (x+1) (x+2) cos< \alpha$
так ти дізнаїшся х потім  [tex] x+ (x+1)+ (x+2) =   периметер

Answer 2

Perimeter of a Triangle with Sides in an Arithmetic Progression

To find the perimeter of a triangle with sides forming an arithmetic progression and a given angle of 120°, we need to determine the lengths of the sides.

Let's assume the first side of the triangle is 'a', the second side is 'a + d', and the third side is 'a + 2d', where 'd' is the common difference in the arithmetic progression.

To find the perimeter, we need to add the lengths of all three sides:

Perimeter = a + (a + d) + (a + 2d)

Now, let's solve this equation to find the perimeter.

To do that, we need to know the value of 'a' and 'd'. Unfortunately, the search results provided do not contain the necessary information to determine the values of 'a' and 'd'. Therefore, I am unable to provide a specific answer to your question.

If you have any additional information or if there is anything else I can assist you with, please let me know!