Question

Середня лінія рівнобедреного трикутника дорівнює 4 дм, знайти бічну сторону трикутника, якщо його периметр становить 30 дм.

Answer 1

Основание этого треугольника равно удвоенному значению средней линии, т.е. 4*2=8 (дм).
У равнобедренного треугольника боковые стороны равны, значит их длины найдем, зная периметр треугольника:
(30-8):2=11 (дм).
Ответ: 11 дм длина боковой стороны

Answer 2

Если средняя линия параллельна основанию,то (30-8)/2=11 дм

Answer 3

Finding the Side Length of an Isosceles Triangle

To find the length of the side of an isosceles triangle, we need to use the given information about the triangle's median line and perimeter.

Let's denote the length of the median line as m and the length of each of the two equal sides as s. The perimeter of the triangle is given as 30 dm.

We know that the perimeter of a triangle is the sum of the lengths of all its sides. In this case, we have two equal sides and one median line. So we can write the equation:

2s + m = 30 We are given that the length of the median line is 4 dm, so we can substitute this value into the equation:

2s + 4 = 30

Now we can solve for s:

2s = 30 - 4

2s = 26

s = 26 / 2

s = 13

Therefore, the length of each of the two equal sides of the triangle is 13 dm.

Conclusion

In summary, if the median line of an isosceles triangle is 4 dm and the perimeter of the triangle is 30 dm, then the length of each of the two equal sides of the triangle is 13 dm.