Question

дан треугольник abc найдите площадь треугольника если ab=6 см bc=7см ac=9 см..пожалуйста,помогите,со всеми формулами,очень прошу

Answer 1

Calculation of Triangle Area

To find the area of triangle ABC, 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, we have the following side lengths: - AB = 6 cm - BC = 7 cm - AC = 9 cm

Let's calculate the area of triangle ABC using Heron's formula.

1. Calculate the semi-perimeter: - s = (AB + BC + AC) / 2 - s = (6 + 7 + 9) / 2 - s = 11

2. Calculate the area using Heron's formula: - Area = sqrt(s(s - AB)(s - BC)(s - AC)) - Area = sqrt(11(11 - 6)(11 - 7)(11 - 9)) - Area = sqrt(11 * 5 * 4 * 2) - Area = sqrt(440) - Area ≈ 20.976 cm²

Therefore, the area of triangle ABC is approximately 20.976 cm².