Question

The area of the equilateral triangle is 2√3 find its semiperimeter

Answer 1

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Answer 2

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

$a = \sqrt{8}$
perimeter of triangle=3a
semi-perimeter of triangle=3a/2

semi-perimeter of given circle=
$\frac{3 \sqrt{8} }{2}$
=>
$\frac{3 \times 2 \times \sqrt{2} }{2}$
=>
$3 \sqrt{2}$
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