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Given : Let ABC an equilateral ∆ whose perimeter is 180 cm
To Find : area ∆ ABC
Solution:
AB=BC=CA= a
180 = a+a+a
a = 180/3
a = 60 cm
S = 180/2= 90 cm( semi perimeter
A= √ 90(90-60)(90-60)(90-60)
A= √ 90×30×30×30
A= √ 9×3×3×3×10000
A= 3×3×100√3
A=900√3 cm²
Area is 900×(1.732)=1558.8 cm²
To Find : area ∆ ABC
Solution:
AB=BC=CA= a
180 = a+a+a
a = 180/3
a = 60 cm
S = 180/2= 90 cm( semi perimeter
A= √ 90(90-60)(90-60)(90-60)
A= √ 90×30×30×30
A= √ 9×3×3×3×10000
A= 3×3×100√3
A=900√3 cm²
Area is 900×(1.732)=1558.8 cm²
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Hello dear your answer
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