Question

Question #d3935

Answer 1

Perimeter of the equilateral triangle P = 14.55 M

Explanation:

In an equilateral triangle, all the three angles are `60^0` each and the three sides are equal. `AB = BC = CA = a`

Let a be the side and h the altitude h .

Likewise, all the three altitudes are equal. `AD = BE = CF = h`

Therefore, side `a = h / sin 60 = 4.2 / (sqrt3/2) ~~ 4.85` M.

Perimeter of the triangle `P = 3 a = 3 * 4.85 = 14.55 M`