Multiple choice

If the area of an equilateral triangle is approximately 68 cm2, what is the area of the triangle whose sides are equal in length to the medians of the equilateral triangle?

  1. 51 cm2

  2. 45 cm2

  3. 60 cm2

  4. Cannot be determined
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The medians of an equilateral triangle with side length 's' have length (sqrt(3)/2) * s. The area of a triangle with these medians as sides is 3/4 of the original area, but the question asks for the area of a triangle whose sides are equal in length to the medians, which is 3/4 of the original area. 68 * 0.75 = 51.

AI explanation

An important geometric property states that a triangle formed by the medians of an equilateral triangle is also an equilateral triangle with an area exactly three-fourths of the original triangle's area. We calculate this area by taking three-fourths of 68 cm2, which yields 51 cm2.

Keep practicing — related questions