Question

Как найти площадь разностороннего треугольника со сторонами 4см, 6см, 8см?

Answer 1

4*6*8=192 Чтобы найти площадь нужно перемножить все стороны

Answer 2

4*6*8=192см площадь разностороннего треугольника,все стороны умножаются

Answer 3

Finding the Area of a Scalene Triangle with Sides 4cm, 6cm, and 8cm

To find the area of a scalene triangle with sides 4cm, 6cm, and 8cm, you can use Heron's formula, which is given by:

Heron's Formula: The area (S) of a scalene triangle with sides a, b, and c can be calculated using the formula: \[ S = \sqrt{s(s-a)(s-b)(s-c)} \] where \( s \) is the semi-perimeter of the triangle, given by \( s = \frac{a+b+c}{2} \).

Applying Heron's Formula to the Given Triangle

Using the given sides of the triangle (a=4cm, b=6cm, c=8cm), we can calculate the area using Heron's formula.

1. Calculate the Semi-Perimeter (s): \[ s = \frac{a + b + c}{2} \] \[ s = \frac{4 + 6 + 8}{2} \] \[ s = 9 \]

2. Calculate the Area (S) using Heron's Formula: \[ S = \sqrt{9(9-4)(9-6)(9-8)} \] \[ S = \sqrt{9 \times 5 \times 3 \times 1} \] \[ S = \sqrt{135} \] \[ S = 11.62 \, cm^2 \]

Therefore, the area of the scalene triangle with sides 4cm, 6cm, and 8cm is approximately 11.62 square centimeters.

Conclusion

Using Heron's formula, the area of the given scalene triangle can be calculated to be approximately 11.62 square centimeters.

If you have any further questions or need additional assistance, feel free to ask!