
Одна сторона треугольника равна a см, вторая – b см, а третья – с см.
Сумма первой и второй стороны равна 14,2 см; сумма второй и третьей стороны равна 17,4 см; сумма первой и третьей стороны равна 15,6 см. Найди периметр треугольника. Срочно очень только фигню не пишите пожалуйста

Ответы на вопрос

Ответ:
23,6 см
Пошаговое объяснение:
(14,2+17,4+15,6):2=23,6



Problem Analysis
We are given a triangle with three sides: side a, side b, and side c. We are also given the following information: - The sum of the first and second sides is 14.2 cm. - The sum of the second and third sides is 17.4 cm. - The sum of the first and third sides is 15.6 cm.We need to find the perimeter of the triangle.
Solution
To find the perimeter of the triangle, we need to add up the lengths of all three sides.Let's assign variables to the given lengths: - The length of the first side is a cm. - The length of the second side is b cm. - The length of the third side is c cm.
From the given information, we can write the following equations: - a + b = 14.2 cm (Equation 1) - b + c = 17.4 cm (Equation 2) - a + c = 15.6 cm (Equation 3)
To find the perimeter, we need to find the values of a, b, and c.
Solving the Equations
We can solve the system of equations using various methods, such as substitution or elimination. Let's use the elimination method to solve the equations.Adding Equations 1 and 3, we get: - (a + b) + (a + c) = 14.2 + 15.6 - 2a + b + c = 29.8 cm (Equation 4)
Subtracting Equation 2 from Equation 4, we get: - (2a + b + c) - (b + c) = 29.8 - 17.4 - 2a = 12.4 cm
Dividing both sides of the equation by 2, we find: - a = 6.2 cm
Substituting the value of a into Equation 1, we can solve for b: - 6.2 + b = 14.2 - b = 14.2 - 6.2 - b = 8 cm
Substituting the values of a and b into Equation 3, we can solve for c: - 6.2 + c = 15.6 - c = 15.6 - 6.2 - c = 9.4 cm
Perimeter Calculation
Now that we have the values of a, b, and c, we can calculate the perimeter of the triangle by adding up the lengths of all three sides: - Perimeter = a + b + c - Perimeter = 6.2 cm + 8 cm + 9.4 cm - Perimeter = 23.6 cmTherefore, the perimeter of the triangle is 23.6 cm.
Please let me know if you need any further assistance!


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