Question

Как найти длину средней линии треугольника? Формулу напишите. Пример, пожалуйста.

Answer 1

Средняя линия треугольника равна половине стороны, которой она параллельна

Answer 2

Finding the Length of the Median of a Triangle

To find the length of the median of a triangle, you can use the following formula:

Median Length = 1/2 * sqrt(2 * (b^2 + c^2) - a^2)

Where: - a, b, c are the lengths of the sides of the triangle.

Let's consider an example to illustrate this formula:

Suppose we have a triangle with the following side lengths: - Side a = 5 units - Side b = 12 units - Side c = 13 units

Using the formula, we can calculate the length of the median of this triangle:

Median Length = 1/2 * sqrt(2 * (12^2 + 13^2) - 5^2)

Median Length = 1/2 * sqrt(2 * (144 + 169) - 25)

Median Length = 1/2 * sqrt(2 * 313 - 25)

Median Length = 1/2 * sqrt(626 - 25)

Median Length = 1/2 * sqrt(601)

Median Length ≈ 15.46 units

So, the length of the median of this triangle is approximately 15.46 units.