Question

area of equilateral is 16 root 3 cm square then find perimeter

Answer 1

(Root3) a^2/4=16(root3) cm
a^2 =16(root3)×4/roots
a^2 =16×4
a=side=root 64
=8cm
Perimeter=3×side=3×8=24cm

Answer 2

HEYA!!!!

Here is your answer :
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$area \: of \: equilateral \: triangle \: = \frac{ \sqrt{3} }{4} \times {a}^{2} \\ \\ 16 \sqrt{3} = \frac{ \sqrt{3} }{4} \times {a}^{2} \\ \\ 16 \sqrt{3} \times \frac{4}{ \sqrt{3} } = {a}^{2} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 64 = {a}^{2} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sqrt{64} = a \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: a\: \: \: = \: 8$

Perimeter of equilateral triangle = 3 × a

= 8 × 3

= 24 cm

Therefore, perimeter of equilateral triangle = 24 cm




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