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Answer:
THE AREA OF EQUILATERAL TRIANGLE √3/4a²
Given Perimeter =180 cm
Semi-perimeter s=180/2
s=90 cm
Since all sides of equilateral triangle are equal
Perimeter =180
Perimeter =180a+a+a=180
Perimeter =180a+a+a=1803a=180
Perimeter =180a+a+a=1803a=180a=60 cm
Area of triangle = √s(s-a)(s-b)(s-c)
= √90(90−60)(90−60)(90−60)
= √90×30×30×30
90×30×30×30
90×30×30×30 =√(9×3×3×3)×(10)⁴
= √(9)²×3×(10)⁴
= 9×√3×10²
= 900√3
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