The perimeter of an equilateral triangle is 36cm,then find the area of the triangle.
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Solution :
Let side of an equilateral
triangle = a
Perimeter (P) = 36cm
=> 3a = 36 cm
=> a = 36/3
=> a = 12 cm
Now ,
Area of an equilateral
triangle (A) = ( √3/4 )a²
= (√3/4 )×12²
= (√3 ) × 12 × 3
= 36√3 cm²
Therefore ,
A = 36√3 cm²
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