Question

If the area of an equilateral
triangle is 16√3 sq. cm then
the perimeter of the triangle is
48 cm
24 cm
12 cm
36 cm​

Answer 1

Answer:

24 cm

Step-by-step explanation:

area of an equilateral triangle = 16√3 cm2

Area of an equilateral triangle = √3/4 (side)2

√3/4(Side)2 = 16√3 ⇒ (Side)2 = 64

⇒ Side =8 cm

[taking positive square root because side is always positive]

Perimeter of an equilateral triangle = 3 x Side= 3 x 8 = 24 cm

Hence, the perimeter of an equilateral triangle is 24 cm.

Answer 2

Answer:

24 is the answer

Step-by-step explanation:

Area of an equilateral traingle=√3/4×side²

Area of an equilateral traingle=16√3cm²....(given)

therefore,

16√3=√3/4×side²

side=8cm

since we know that,

perimeter of a triangle=3×side

3×8=24cm