Question 4
The area of an equilateral triangle with side $2 \sqrt{3} c m$ is

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Solution

Given, side of an equilateral triangle is $2 \sqrt{3} c m$
Area of an equilateral triangle $= \frac{\sqrt{3}}{4} (s i d e)^{2}$
$= \frac{\sqrt{3}}{4} (2 \sqrt{3})^{2} = \frac{\sqrt{3}}{4} \times 4 \times 3 = 3 \sqrt{3} = 3 \times 1.732 = 5.196 c m^{2}$
Hence, the area of an equilateral triangle is 5.196 $c m^{2}$ .

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Question 111

A square and an equilateral triangle have a side in common. If the side of the triangle is $\frac{4}{3}$ cm long, find the perimeter of the figure formed (see the figure).

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Question 4 The area of an equilateral triangle with side 2√3cm is

Given, side of an equilateral triangle is 2√3cm Area of an equilateral triangle =√34(side)2 =√34(2√3)2=√34×4×3=3√3=3×1.732=5.196cm2 Hence, the area of an equilateral triangle is 5.196 cm2.

Question 4
The area of an equilateral triangle with side $2 \sqrt{3} c m$ is