Question

A traffic Signal board, indicating 'SCHOOL AHEAD' Is an equilateral traingle 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 ?

Please Tell correct Answer with full Explanation...​

Answer 1

Answer:

give perimeter =180cm

semi-perimeter =180/2

s=90cm

since all side of equilateral traingle are equal

so,

perimeter =180

a+a+a=180

a=60cm

area of triangle =√s(s-a)(s-b)(s-c)

√90(90-60)(90-60)(90-60)

=√90×30×30×30

=√(9×3×3×3)(10)root 4

=9×√3(10)root 2

=9×100×√3

ans =900√3