Question

Сторона равностороннего треугольника равна 10√3. найдите его медиану

Answer 1

Медиана делит сторону пополам. 10 корней из 2 в квадрате - 5 корней из 2 в квадрате = 225 = 15 в квадате.
Ответ: 15

Answer 2

Медиана равностороннего треугольника равна высоте и биссектрисе.
$L=\frac{a\sqrt{3} }{2}= \frac{10\sqrt{3}* \sqrt{3} }{2} = \frac{30}{2} =15$
Ответ: медиана равна 15.

Answer 3

Finding the Median of an Equilateral Triangle

To find the median of an equilateral triangle, we need to know the length of one side of the triangle. In this case, the length of one side is given as 10√3.

The median of an equilateral triangle is a line segment that connects one vertex of the triangle to the midpoint of the opposite side. It divides the triangle into two congruent right triangles.

To find the length of the median, we can use the formula:

Median = (1/2) * side length

Substituting the given side length of 10√3, we can calculate the length of the median:

Median = (1/2) * 10√3 = 5√3

Therefore, the length of the median of the equilateral triangle is 5√3.