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900√3 cms ............
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Given Perimeter =180 cm
Semi-perimeter s=2180
s=90 cm
Since all sides of equilateral triangle are equal
So,
Perimeter =180
a+a+a=180
3a=180
a=60 cm
Area of triangle =s(s−a)(s−b)(s−c)
=90(90−60)(90−60)(90−60)
=90×30×30×30
=(9×3×3×3)×(10)4
=(92)×3×(10)4
=9×3×(10)2
=9×100×3
=9003
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