Find the area of the regular triangle with a perimeter of 36 cm. how do I do this?
To find the area of a regular triangle, we need to know the length of one of its sides. In this case, we are given the perimeter of the triangle, which is 36 cm. Since a regular triangle has three equal sides, we can divide the perimeter by 3 to find the length of one side.
Perimeter of the triangle = Sum of all three sides
So, one side of the triangle = Perimeter / 3
One side of the triangle = 36 cm / 3 = 12 cm
Now that we know the length of one side (12 cm), we can use the formula for the area of a regular triangle:
Area = (s^2 * √3)/4
where s is the length of one side.
Plugging in the value of s, we get:
Area = (12 cm^2 * √3)/4
Area = (144 cm^2 * √3)/4
Area = 36 cm^2 * √3
Hence, the area of the regular triangle with a perimeter of 36 cm is 36 cm^2 * √3.