The side of an equilateral triangle is 16 root of 3. Find its height.

The height of a triangle can be considered as a leg of a right-angled triangle, the hypotenuse of which is equal to the side of the triangle, and the height itself is a leg opposite to the corner of the triangle.
Since, according to the condition of the problem, the triangle is equilateral, all its angles are equal to 60 degrees.
Thus, the height will be h = 16 * √3 * sin 60 ° = 16 * √3 * √3 / 2 = 16/2 * 3 = 8 * 3 = 24.
Answer: h = 24.

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