Question

Найдите площадь треугольника, если известны его стороны 5 см, 6 см и 7 см. Прошу помогите будьте человеком ​

Answer 1

p= a+b+c=5+6+7=18cm............

Answer 2

Calculating the Area of a Triangle

To find the area of a triangle when the lengths of all three sides are known, you can use Heron's formula. Heron's formula states that the area (A) of a triangle with sides of length a, b, and c is given by:

A = √(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 the given side lengths of 5 cm, 6 cm, and 7 cm.

Calculation

First, we calculate the semi-perimeter (s): ``` s = (5 + 6 + 7) / 2 = 18 / 2 = 9 ``` Now, we can use Heron's formula to find the area (A): ``` A = √(9(9 - 5)(9 - 6)(9 - 7)) = √(9*4*3*2) = √(216) ≈ 14.6969 ```

Answer

The area of the triangle, given the side lengths of 5 cm, 6 cm, and 7 cm, is approximately 14.6969 square centimeters.