Question

If the area of an equilateral triangle is 81 root 3 cm2 , find its perimeter

Answer 1

54 cm will be the answer

Answer 2

We know that

Area of equilateral triangle = √3/4 (side)2

Substituting the values

81 √3 = √3/4 (side)2

By further calculation

Side2 = (81 √3 × 4)/ √3

So we get

(side)2 = 81 × 4

side = √(81 × 4)

side = 9 × 2 = 18 cm

So the perimeter of equilateral triangle = 3 × side

= 3 × 18

= 54 cm

${\fcolorbox{blue}{black}{\blue{\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:HumanIntelligence\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:}}}$