If the perimeter of an equilateral triangle is 36 units, then what is its area in square units?

Question

Accepted Answer

Step 1: Given the perimeter of the equilateral triangle is 36 units.
Step 2: Since it is equilateral, all sides are equal. Let each side be 'a'.
Step 3: Perimeter = 3a = 36 ⇒ a = 36 / 3 = 12 units.
Step 4: Area of an equilateral triangle = (√3 / 4) * a²
Step 5: Substitute a = 12:
Area = (√3 / 4) * (12)² = (√3 / 4) * 144 = 36√3 square units.

Therefore, the area is 36√3 square units.

Answer

Answer

Answer