Question

If the area of an equilateral triangle is 16√3sq cm. Find the perimeter and altitude.​

Answer 1

Answer:

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Step-by-step explanation:

Given area of an equilateral triangle =163–√cm2

∴Area of equilateral triangle=3–√4(Side)2

∴3–√4(Side)2=163–√⇒(Side)2=64

⇒Side=8cm

[taking positive square root because side is always positive]

∴Perimeter of an equilateral triangle=3×side=3×8=24cm

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

Answer 2

Answer:

Given, area of an equilateral triangle = 16√3 cm2

Given, area of an equilateral triangle = 16√3 cm2Area of an equilateral triangle = √3/4 (side)2

Given, area of an equilateral triangle = 16√3 cm2Area of an equilateral triangle = √3/4 (side)2√3/4(Side)2 = 16√3 ⇒ (Side)2 = 64

Given, area of an equilateral triangle = 16√3 cm2Area of an equilateral triangle = √3/4 (side)2√3/4(Side)2 = 16√3 ⇒ (Side)2 = 64⇒ Side =8 cm

Given, area of an equilateral triangle = 16√3 cm2Area 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]

Given, area of an equilateral triangle = 16√3 cm2Area 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

Given, area of an equilateral triangle = 16√3 cm2Area 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 cmHence, the perimeter of an equilateral triangle is 24 cm.

Step-by-step explanation:

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