Question

If the area of an equilateral triangle is 16 √3 cm^2 , find its perimeter and altitude.

Answer 1

Answer:

the perimeter of an equilateral triangle is 24 cm

Step-by-step explanation:

Given, 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.

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