the area of an equilateral triangle is 173.2cm . find its perimeter
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Area of an equilateral triangle = under root 3/4 ×side ^2 . Given area =173.2 cm so under root 3/4 ×side^2 = 173.2 From here we can clculate the side of an equilateral triangle . since all the sides of an equilateral triangle are equal therefore its perimeter will be 3 × side
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Answer:
√3= 1.732
and formula = √3/4×a^2= area
now, √3 /4 × a^2 = 173.2
173.2 ×4 = a^2 ×1.732
173.2 × 4/1.732 = a^2
400 ( got by solution) = a^2
so √400 = a
a= 20
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