Multiple choice

If the length of the median of an equilateral triangle is $3\sqrt {3}$ then the length of a side of the triangle of _______.

  1. $9$
  2. $6$
  3. $7.5$
  4. $3$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

In an equilateral triangle, the median length is (sqrt(3)/2) * side. Given 3 * sqrt(3) = (sqrt(3)/2) * side, we find side = 6.

AI explanation

In an equilateral triangle, the median is given by the formula (sqrt(3)/2) * side. Setting this equal to the given median, we get (sqrt(3)/2) * side = 3*sqrt(3). Multiplying both sides by 2 and dividing by sqrt(3) gives the side length as 6.

Keep practicing — related questions