Question

if the area of an equilateral triangle is 16√3cm^2 .find the perimeter

Answer 1

Heya !!!





Area of an equilateral triangle = 16✓3 cm²


✓3/4 × (Side)² = 16✓3



(Side)² = 16✓3 × 4/ ✓3




(Side)² = 64





Side = ✓64 = 8 cm





Therefore,



Perimeter of an equilateral triangle = 3 × (Side) = 3 × 8 = 24 cm




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Answer 2

Area of an equilateral trianle=
ngruent) can be found using the formula

Area=√3/4× (side)^2

Let the measure of side of the equilateral triangle be a cm
Then,


√3/4a^2=16√3
a^2=16√3×4/√3
a^2=64
a=8

hence, side of the trianle=8cm

Now,

perimeter of an equilateral triangle=3×side
=3×8cm
=24cm