If one side of equilateral triangle is 2 cm then find
the area of this triangle
half this triangle is a 30, 60, 90 triangle with the altitude (sqrt 3) as the long leg and half(1) the base as the short leg.
(1/2) b h = (1/2)(2) sqrt 3 = sqrt 3
To find the area of an equilateral triangle, we can use the formula:
Area = (sqrt(3) / 4) * side^2
Given that one side of the equilateral triangle is 2 cm, we can substitute this value into the formula:
Area = (sqrt(3) / 4) * 2^2
Simplifying, we get:
Area = (sqrt(3) / 4) * 4
Since the square root of 3 is an irrational number, we can approximate it to 1.732. Multiplying this by 4 gives us:
Area = 1.732 * 4
Now, we can calculate the area:
Area ≈ 6.928 square centimeters
Therefore, the area of the equilateral triangle is approximately 6.928 square centimeters.