Question

What is the length of ench side of an equilateral triangle
having an area of 4√3 cm?​

Answer 1

Step-by-step explanation:

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YOUR ANSWER IS 4 cm

Answer 2

Given:

• Area of Equilateral Δ = 4√3 cm

To find:

⟶ Length of each side = ?

Solution:

$\bf{Area=\dfrac{\sqrt{3} }{4}a^{2} }\\\\\\\Rightarrow \sf{4\sqrt{3} = \dfrac{\sqrt{3} }{4}a^{2}}\\\\\\\Rightarrow \sf{4\sqrt{3} = \dfrac{\sqrt{3} a^{2} }{4}}\\\\\\\Rightarrow \sf{4 \times 4\sqrt{3} = \sqrt{3}a^{2} }\\\\\\\Rightarrow \sf{16\sqrt{3} = \sqrt{3} a^{2} }\\\\\\\tt{Cancelling\: \sqrt{3}\: on\: both\:sides,}\\\\\sf{a^{2} = 16}\\\\\Rightarrow \sf{a = \sqrt{16} }\\\\\\\Rightarrow \sf{a = \pm 4}\\\\\\\mathfrak{Side\:cannot\:be\:negative}$

$\therefore \large{\boxed{\boxed{\bf{a = 4\:cm}}}}$

Side = 4 cm

Additional Information:

• An Equilateral Triangle is a triangle in which all sides are equal and each angle measures 60°
• Perimeter of Equilateral Triangle = 3 × Side
• Here we considered 'a' as a side of Equilateral Triangle