Question

Знайти площу різностороннього трикутника: сторони трикутника - 270м, 372м, 152м,

Answer 1

Формула Герона: S=√[p(p-a)(p-b)(p-c)]   (все под корнем)
a=270
b=372
c=152

p= a+b+c = 270+372+152 = 397
       2                   2
S=√[397(397-270)(397-372)(397-152)] =
  =√[397*127*25*245]=
  =5√[397*127*(5*49)]=
  =5*7√[397*127*5]=
  =35√252095 ≈ 17573.172 (м²)

Answer 2

Finding the Area of a Scalene Triangle

To find the area of a scalene triangle with side lengths of 270m, 372m, and 152m, 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 = √(s(s - a)(s - b)(s - c))

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

s = (a + b + c) / 2

Let's calculate the area using these formulas.

Calculating the Area

First, we calculate the semi-perimeter: ``` s = (270 + 372 + 152) / 2 = 394 ```

Then, we use Heron's formula to find the area: ``` Area = √(394(394 - 270)(394 - 372)(394 - 152)) = √(394*124*22*242) = √(21491904) ≈ 4636.6 square meters ```

So, the area of the scalene triangle with side lengths 270m, 372m, and 152m is approximately 4636.6 square meters.