Question

Дайте равностороннему треугольнику ABC высоту, равную 12√3cm. Вычислите периметр треугольника и его площадь. Пожалуйста напишите ответ подробнее и рисунок если не ссложно

Answer 1

Ответ:

144√3

Объяснение:

АВС трикутник

ВК висота = 12√3

АК =х/2

АВ=х

х2= х2/4+432

3х2/4=432

х2=576

АВ=Х=24

S=(Х2*√3)/4=144√3 площа трикутника

х2-це х в квадраті

Answer 2

Perimeter and Area of an Equilateral Triangle

To find the perimeter and area of an equilateral triangle, we need to know the length of one side of the triangle. However, in this case, we are given the height of the equilateral triangle, which is 12√3 cm.

To solve this problem, we can use the relationship between the height and the side length of an equilateral triangle. In an equilateral triangle, the height is equal to √3/2 times the length of one side. Therefore, we can calculate the side length using the given height.

Let's calculate the side length first:

Step 1: Calculate the side length using the height formula: - Height (h) = √3/2 * side length (s) - Given height (h) = 12√3 cm

Substituting the values into the formula: 12√3 = √3/2 * s

To isolate s, we can divide both sides of the equation by √3/2: s = (12√3) / (√3/2) s = 12 * 2 s = 24 cm

Now that we have the side length, we can proceed to calculate the perimeter and area of the equilateral triangle.

Perimeter of the Equilateral Triangle

The perimeter of any polygon is the sum of the lengths of all its sides. In the case of an equilateral triangle, since all sides are equal, we can calculate the perimeter by multiplying the side length by 3.

Step 2: Calculate the perimeter of the equilateral triangle: - Side length (