Area Of A Triangle

To find the area of an equilateral triangle where each side measures 4 cm, we use the formula for the area of an equilateral triangle:

Given the side length , plug this value into the formula:

Calculate :

Substitute back into the formula:

Simplify the expression:

Therefore, the area of the equilateral triangle is .

The area of a given triangle is presented as cm². To find , we have to equate this to the area of an equilateral triangle with a side length of 6 cm. The formula for the area of an equilateral triangle with side is . So, substitute :

Now, set the areas equal to solve for :

To find , divide both sides by 9:

Thus, the value of is .