Question

Пряма паралельна основі трикутника ділить його на 2 частини рівної площі . Знайти периметр меншого трикутника якщо периметр даного 28 см . Помогите !!!!!!!!!!!!!!

Answer 1

14, коли периметр даного 28, а пряма ділить його на дві рівні частини! я вважаю така відповідь

Answer 2

Finding the Perimeter of the Smaller Triangle

To find the perimeter of the smaller triangle when the perimeter of the given triangle is 28 cm, we can use the fact that a line parallel to the base of a triangle divides it into two parts of equal area. Let's denote the perimeter of the smaller triangle as P.

Solution

Given that the perimeter of the given triangle is 28 cm, we need to find the perimeter of the smaller triangle.

We know that the line parallel to the base of a triangle divides it into two parts of equal area. This means the smaller triangle has half the area of the given triangle.

Let's denote the base of the given triangle as b and the height as h.

The area of the given triangle is given by the formula: Area = (base * height) / 2

Since the line parallel to the base divides the triangle into two equal parts, the area of the smaller triangle is: Area of smaller triangle = (base * height) / 4

Now, we can use the fact that the perimeter of a triangle is the sum of the lengths of its three sides: Perimeter = side1 + side2 + side3

We need to find the perimeter of the smaller triangle, so we can use the relationship between the perimeters of similar figures: Perimeter of smaller triangle = (Perimeter of given triangle) / 2

Let's calculate the perimeter of the smaller triangle using the given information.

Calculation

Given: Perimeter of the given triangle = 28 cm

Using the relationship between the perimeters of similar figures: Perimeter of smaller triangle = 28 / 2 = 14 cm

Therefore, the perimeter of the smaller triangle is 14 cm.

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