Question

the area of an equilateral triangle of side 40cm is

Answer 1

$<b>Heya mate. (^_-). Solution below.$
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• Given side of an equilateral triangle = 40 cm


• We know that area of any equilateral triangle = √3/4 × side²



• So, area of given equilateral triangle -

= √3/4 × (40)²

= √3/4 × 1600

= √3 × 400

= 400√3 cm²

• Therefore, area of the given equilateral triangle = 400√3 cm²


$<marquee>Hence, your answer is 400√3 cm².</marquee>$
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Thank you.. ;-)

Answer 2

$\sf \purple{Area \: of \: equilateral \: \triangle = \frac{ \sqrt{3} }{4} \times ({side})^{2} }$

$\sf {Area \: of \: equilateral \: \triangle = \frac{ \sqrt{3} }{4} \times ({40})^{2} }$

$\sf {Area \: of \: equilateral \: \triangle = \frac{ \sqrt{3} }{ \cancel4} \times \cancel{40} \times 40}$

$\sf {Area \: of \: equilateral \: \triangle = \sqrt{3} \times 10 \times 40 }$

$\sf{\pink{ \underline{ \underline{Area \: of \: equilateral \: \triangle = 400 \sqrt{3} \: {cm}^{2} }}} }$