The measure of each side of an equilateral Triangle whose area is root

1.	The measure of each side of an equilateral Triangle whose area is root 3 cm²
Answer» ong>GIVEN :- Area of an EQUILATERAL TRIANGLE is √3 cm². TO FIND :- The each side of an equilateral ∆. SOLUTION :- As we KNOW that the area of an equilateral triangle is given by, $\\ : \implies \displaystyle \sf \: Area_{(equilateral \: \triangle )} = \frac{ \sqrt{3} }{4} \times (side) ^{2} \\ \\ \\$ $: \implies \displaystyle \sf \: \sqrt{3} = \frac{ \sqrt{3} }{4} \times (side) ^{2} \\ \\ \\$ $: \implies \displaystyle \sf \:4 \times \sqrt{3} = \sqrt{3} \times (side) ^{2} \\ \\ \\$ $: \implies \displaystyle \sf \:4 \sqrt{3} =\sqrt{3} \times (side) ^{2} \\ \\ \\$ $: \implies \displaystyle \sf \:(side) ^{2} = \frac{4 \sqrt{3} }{ \sqrt{3} } \\ \\ \\$ $: \implies \displaystyle \sf \:(side) ^{2} = 4 \\ \\ \\$ $: \implies \displaystyle \sf \:side = \sqrt{4} \\ \\ \\$ $: \implies \underline{ \boxed{\displaystyle \sf \bold{ \:side = 2 \: cm}}}$