Question

the area of an equilateral triangle is 100√3m². find each side of garden

Answer 1

Hey there!!

Let a be the each side of the equilateral triangle

Given that -

$Area \: = 100 \sqrt{3} \: \: {m}^{2} \\ \\ = > \frac{ \sqrt{3} }{4} \: {a}^{2} \: = 100 \sqrt{3} \\ \\ = > {a}^{2} = 100 \sqrt{3} \times \frac{4}{ \sqrt{3} } \\ \\ = > {a}^{2} = 400 \\ \\ = > a = 20 \: cm \:$
Hence the sides of the equilateral triangle are
20 meter each

Hope it would help u !!!