Question

the area of an equilateral triangle if the length of its side is 2√2 m​

Answer 1

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Area of equilateral triangle = √3/4 × 2√2

= √3/2×√2

=√6 /2

Answer 2

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Q:-the area of an equilateral triangle if the length of its side is 2√2 m

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Area of an equilateral triangle:-

⟹ $\frac{ \sqrt{3} }{4} {a}^{2}$

$⟹ \frac{ \sqrt{3} }{4} {(2 \sqrt{2}) }^{2} = \frac{ \sqrt{ 3} }{4} \times 4 \times 2$

$⟹ \frac{ \sqrt{3} }{4} \times 8 = \frac{ \sqrt{3} }{4} \times 2 \sqrt{2}$

$⟹ \frac{2 \sqrt{3} \sqrt{2} }{4} = \frac{ \sqrt{2} \sqrt{3} }{2}$

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