In an equilateral triangle with a side of 6 cm. Find the median.

So, we have an equilateral triangle. Draw the median in it from the top of the triangle to the base. All sides are equal to 6, the median will also be the height, which means that the side of the base will be divided into two equal parts, that is, into 3 and 3. Now we know everything and we will find the median by the Pythagorean theorem, because we have a right-angled triangle. The median squared is = 6 ^ 2 -3 ^ 2
The median squared is 25. Hence the median is 5.



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