The perimeter of a triangle is 36 units. Its area cannot be more than ______ square units.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. .
the perimeter of the triangle is 36 units, for an equilateral triangle:
Perimeter = 3 × side length
⇒ 36 = 3 × s
⇒ s = 36/3 = 12 units
the area of an equilateral triangle with side length s = √3/4 s2
⇒ √3/4 × 122 = √3/4 × 144 = 36√3