Question

Медиана равностороннего треугольника равна корень из 3 см. Найдите сторону треугольника. Расписть решение подробно. :)

Answer 1

Т.к. в равностороннем треугольнике все высоты, биссектрисы и медианы равны, то по т.пифагора 
a²=(a/2)²+√3² 
4a²=a²+12 
3a²=12 
a²=4 
a=2 см - сторона треугольника 
S=2*√3/2=√3

Answer 2

Finding the Side Length of an Equilateral Triangle with a Given Median

To find the side length of an equilateral triangle when the median is given, we can use the formula:

Side length = (2 * median) / √3

Given that the median of the equilateral triangle is √3 cm, we can substitute this value into the formula to find the side length.

Side length = (2 * √3) / √3

Simplifying the expression, we get:

Side length = 2 cm

Therefore, the side length of the equilateral triangle is 2 cm.

Solution:

1. The median of an equilateral triangle is given as √3 cm. 2. Using the formula for finding the side length of an equilateral triangle with a given median, we substitute the value of the median into the formula: Side length = (2 * √3) / √3. 3. Simplifying the expression, we find that the side length of the equilateral triangle is 2 cm.

Therefore, the side length of the equilateral triangle is 2 cm.