Question

The area of an equilateral triangle is 2√2cm×2. find its semiperimetre

Answer 1

Let x be the side length of the equilateral triangle. Then, area is
$\frac{ \sqrt{3} }{4} {x}^{2} = 2 \sqrt{2} \\ {x}^{2} = \frac{8 \sqrt{2} }{ \sqrt{3} } \\ x = 2.55 \: cm$
Semiperimeter is
$\frac{3x}{2} = \frac{3 \times 2.55}{2} = 3.83 \: cm$