The length of the altitude of the equilateral triangle is 4√3 units.
The given parameters;
- Length of a side of the equilateral triangle, L = 8 units
The half length of the base of the triangle is calculated as follow;
[tex]x = \frac{8 \ units}{2} \\\\x = 4 \ units[/tex]
The height of the triangle is calculated by applying Pythagoras theorem as follows;
[tex]h^2 = L^2 - x^2\\\\h = \sqrt{(8^2) - (4^2)} \\\\h = \sqrt{48} \\\\h = \sqrt{16 \times 3} \\\\h = 4\sqrt{3} \ \ units[/tex]
Thus, the length of the altitude of the equilateral triangle is 4√3 units.
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