Question

The area of a triangle whose each angle is 600 is 16√3 m 2 find its perimeter

Answer 1

triangle having each angle 60 is equilateral one.
so
area of equilateral triangle
$( \sqrt{3} \div 4)( {a}^{2} ) = 16 \sqrt{3} \\ {a}^{2} = 64 \\ a = 8$
Now perimeter of triangle having each side =a
is a+a+a=3a
$= 3a \\ = 3(8) \\ = 24cm$
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