Respuesta :

Answer:

15cm

Step-by-step explanation:

side of triangle = 5 cm

perimeter of triangle= 5×3 = 15 cm

Answer:

perimeter = 15 units

Step-by-step explanation:

given Δ ABC with AB = BC = AC , that is the 3 sides of the triangle are congruent (equal )

The triangle is therefore an equilateral triangle

The area ( A) of an equilateral triangle is calculated as

A = [tex]\frac{s^2\sqrt{3} }{4}[/tex] ( s is the length of a side )

given

A = [tex]\frac{25\sqrt{3} }{4}[/tex] = [tex]\frac{s^2\sqrt{3} }{5}[/tex]

Then by comparison of the two expressions for A

s² = 25 ( take square root of both sides )

s = [tex]\sqrt{25}[/tex] = 5

The perimeter is the sum of the 3 sides, then

perimeter = 3 × 5 = 15 units

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