If the perimeter of an equilateral triangle is 180 cm. Then its area will be:
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Step-by-step explanation:
Perimeter of △ABC= 180cm. So the side of an equilateral triangle is 60cm. Area of the equilateral triangle is given as Area = √34x2 where x is the side of the equilateral triangle. Hence the area of the triangle is 1558.84cm2.
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Perimeter of the equilateral triangle
=3(side)
180=3a
a=180/3
a=60cm
Therefore,the sides of the triangles are 60cm,60cm &60cm(Equilateral triangle)
AREA OF THE EQUILATERAL TRIANGLE
=√3/4×a²
=√3/4×60²
=√3/4×3600
=√3×900
=900√3 cm² or 900×1.732
=1558.8 cm²
Therefore,the area of the Equilateral triangle is 900√3 cm² or 1558.8 cm²..
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