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The area of an equilateral triangle is 43cm24\sqrt{3}cm^2 . The length of each side of the triangle is :

A3 cm

B22cm2\sqrt{2}cm

C93cm9\sqrt{3}cm

D4cm

Answer:

D. 4cm

Read Explanation:

Area of the equilateral triangle =34×(side)2=43=\frac{\sqrt{3}}{4}\times{(side)^2}=4\sqrt{3}

43=34×(side)24\sqrt{3}=\frac{\sqrt{3}}{4}\times{(side)^2}

(side)2=16(side)^2=16

side=4cmside=4 cm


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