The median of an equilateral triangle is 11√3. Find a side of it.
| August 12, 2021 | education
Let us denote by a the side of the triangle, so the median of an equilateral triangle is its height, then by the Pythagorean theorem we get the expression:
(11 * √3) ^ 2 + (a / 2) ^ 2 = a ^ 2;
3/4 * a ^ 2 = 121 * 3;
a ^ 2 = 4 * 121;
a = √4 * √121 = 2 * 11 = 22.
Answer: 22.
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