# The height of an equilateral triangle is 78√3. Find its perimeter

May 31, 2020 | Education

| Since the triangle is equilateral, then all its sides are equal. Denote the length of the side as a.

By the second property of an equilateral triangle:

BD = √3a / 2

78√3 = √3a / 2

78 * 2 * √3 / √3 = a = 156

The perimeter of the triangle is: P = AB + BC + AD = a + a + a = 3a = 3 * 156 = 468

Answer: P = 468

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