Sure, here is the step by step solution:

Step 1: We know that the formula for the area of an equilateral triangle is √3/4 * a², where a is the length of a side.

Step 2: Given that the area is 2√3 cm², we can set up the equation 2√3 = √3/4 * a².

Step 3: Simplifying this equation gives us a² = 8.

Step 4: Taking the square root of both sides, we find that a = √8 = 2√2 cm.

Step 5: The perimeter of an equilateral triangle is 3a, so the perimeter of this triangle is 3 * 2√2 = 6√2 cm.

Question

Sure, here is the step by step solution:

Step 1: We know that the formula for the area of an equilateral triangle is √3/4 * a², where a is the length of a side.

Step 2: Given that the area is 2√3 cm², we can set up the equation 2√3 = √3/4 * a².

Step 3: Simplifying this equation gives us a² = 8.

Step 4: Taking the square root of both sides, we find that a = √8 = 2√2 cm.

Step 5: The perimeter of an equilateral triangle is 3a, so the perimeter of this triangle is 3 * 2√2 = 6√2 cm.

Knowee AI · Accepted Answer

Sure, here is the step by step solution:

Step 1: We know that the formula for the area of an equilateral triangle is √3/4 * a², where a is the length of a side.

Step 2: Given that the area is 2√3 cm², we can set up the equation 2√3 = √3/4 * a².

Step 3: Simplifying this equation gives us a² = 8.

Step 4: Taking the square root of both sides, we find that a = √8 = 2√2 cm.

Step 5: The perimeter of an equilateral triangle is 3a, so the perimeter of this triangle is 3 * 2√2 = 6√2 cm.

.The area of an equilateral triangle is 2√3 cm 2 . Find its perimeter.