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A traffic signal board, indicating 'SCHO...

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 ?

Text Solution

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The correct Answer is:
`900 sqrt(3) cm^(2)`
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Knowledge Check

  • The side of an equilateral triangle expands at the rate of sqrt(3) cm/sec. When the side is 12 cm, the rate of increase of its area is ……….

    A
    `12cm^(2)//sec`
    B
    `18 cm^(2)//sec`
    C
    `3sqrt(3)cm^(2)//sec`
    D
    `10cm^(2)//sec`

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