Question

Сторони трикутника відносяться як 4 : 6 : 8. Знайти сторони та периметр даного трикутника, якщо периметр трикутника, утвореного середніми лініями, дорівнює 45см. Треба малюнок і розв’язок даю 100балів

Answer 1

Ответ:

Объяснение:пока

Answer 2

Given Information:

The ratios of the sides of a triangle are 4:6:8. The perimeter of the triangle formed by the medians is 45 cm.

Solution:

To find the sides of the original triangle and its perimeter, we can use the fact that the medians of a triangle divide each other in a 2:1 ratio.

Let's assume the sides of the original triangle are 4x, 6x, and 8x, where x is a constant.

According to the given information, the perimeter of the triangle formed by the medians is 45 cm. The perimeter of a triangle is the sum of its sides. So, we can set up the following equation:

4x + 6x + 8x = 45

Simplifying the equation, we get:

18x = 45

Dividing both sides by 18, we find:

x = 45/18 = 2.5

Now, we can substitute the value of x back into the sides of the original triangle to find their lengths:

Side 1: 4x = 4 * 2.5 = 10 cm Side 2: 6x = 6 * 2.5 = 15 cm Side 3: 8x = 8 * 2.5 = 20 cm

Therefore, the sides of the original triangle are 10 cm, 15 cm, and 20 cm.

To find the perimeter of the original triangle, we add up the lengths of its sides:

Perimeter = Side 1 + Side 2 + Side 3 = 10 cm + 15 cm + 20 cm = 45 cm

So, the perimeter of the original triangle is 45 cm.

Conclusion:

The sides of the original triangle are 10 cm, 15 cm, and 20 cm, and its perimeter is 45 cm.