Question

the perimeter of an equilateral triangle 15√3 find it's area​

Answer 1

perimeter = 3a

$3a \: \: = \: \: 15 \sqrt{3} \\ \\ a \: \: = \: 5 \sqrt{3} \\ \\ area \: = \: \frac{ \sqrt{3} }{4} a {}^{2} \\ \\ = \frac{ \sqrt{3} }{4} \times 5 \sqrt{3} \times 5 \sqrt{3} \\ \\ = \frac{75 \sqrt{3} }{4}$

Answer 2

Answer:

Perimeter = 15$\sqrt{3}$cm

3a =  $15\sqrt{3}$

Therefore, a = $\frac{15\sqrt{3}}{3}$

$5\sqrt{3}cm$

$Area=\frac{\sqrt{3}}{4}a^{2}\\\implies \frac{\sqrt{3}}{4}*75\\\implies \sqrt{3}*18.75\\18.75*1.73\\32.437cm^{2}$

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