Question

СРОЧНО СРОЧНО РЕБЯТ ПОМОГИТЕ!!! Стороны треугольника относятся как 3 : 4 : 5Найдите площадь этого треугольника, зная, что его периметр равен 45,6 см УМОЛЯЮ ПОМОГИТЕ!!

Answer 1

Примем стороны за 3х, 4х, 5х, тогда
3х+4х+5х=45.6
12х=45,6
х=3,8
Тогда первая сторона - 3*3,8=11,4
вторая - 4*3,8=15,2
третья- 5*3,8=19 
p-полупериметр (45,6/2=22,8)
Теперь за формулой Герона найдём площадь
S=Корень 22,8*(22,8-11,4)*(22,8-15,2)*(22,8-19) = 86,64 
Вроде так, но могу и ошибаться

Answer 2

Finding the Area of a Triangle with Given Side Lengths and Perimeter

To find the area of a triangle with given side lengths and perimeter, we can use Heron's formula. Heron's formula states that the area of a triangle with side lengths a, b, and c is given by:

Area = sqrt(s * (s - a) * (s - b) * (s - c))

where s is the semi-perimeter of the triangle, calculated as:

s = (a + b + c) / 2

In this case, the side lengths of the triangle are given as 3, 4, and 5, and the perimeter is given as 45.6 cm. Let's calculate the area using these values.

1. Calculate the semi-perimeter: - Perimeter = 45.6 cm - Semi-perimeter (s) = Perimeter / 2 = 45.6 / 2 = 22.8 cm

2. Calculate the area using Heron's formula: - Side lengths: a = 3 cm, b = 4 cm, c = 5 cm - Area = sqrt(s * (s - a) * (s - b) * (s - c)) - Area = sqrt(22.8 * (22.8 - 3) * (22.8 - 4) * (22.8 - 5)) - Area = sqrt(22.8 * 19.8 * 18.8 * 17.8) - Area = sqrt(72473.856) - Area ≈ 269.42 cm^2

Therefore, the approximate area of the triangle with side lengths in the ratio of 3:4:5 and a perimeter of 45.6 cm is 269.42 cm^2.

Please note that the provided search snippets did not provide relevant information for this specific question. The calculation is based on the mathematical formula for finding the area of a triangle using Heron's formula.