Find the area of an equilateral triangle having altitude `h\ c mdot`

Explanation

To find the area of an equilateral triangle given its altitude \( h \) cm, we can follow these steps:

### Step 1: Understand the properties of the equilateral triangle
In an equilateral triangle, all sides are equal, and the altitude divides the triangle into two right-angled triangles. The altitude also bisects the base.

### Step 2: Label the triangle
Let the equilateral triangle be \( ABC \) with altitude \( AD \) from vertex \( A \) to base \( BC \). Let \( D \) be the point where the altitude meets \( BC \). Since \( ABC \) is equilateral, we denote the length of each side as \( x \).

...