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A traffic signal board, indicating ‘SCHOOL …

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A traffic signal board, indicating ‘SCHOOL AHEAD’, is an equilateral triangle with side a. Find the area of the signal board, using Heron’s formula.If its perimeter is 180 cm, what will be the area of the signal board?
  • 1 answers

Gaurav Seth 3 years, 9 months ago

Ans. For an equilateral triangle with side ‘a’, area

       

       ∴ Each side of the triangle = a cm

       ∴ a + a + a = 180 cm

       ⇒ 3a = 180 cm

       

       Now, s = Semi–perimeter 

       ∴ Area of a triangle

           

       ∴ Area of the given triangle

       

       

       Thus, the area of the given triangle

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