1.

The area of an equilateral triangle is 16√3 cm. what is the perimeter of the triangle.

Answer»

Area of equilateral triangle = 16√3 cm2

Area of equilateral triangle = (√3/4 x a2 ) where a is the length of the side

16√3 cm2 = √3/4 x a2

16√3 cm2 x 4/√3 = a2

64 cm2 = a2

a = √64 cm2

a = 8 cm

Perimeter of a triangle = 3a

= 3 x 8 cm

= 24 cm



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