Question

A traffic signal board indicating ‘SCHOOL AHEAD’, is an equilateral triangle with perimter 180cm . Find the area of the signal board.

Answer 1

Answer:

A traffic signal board indicating ‘SCHOOL AHEAD’, is an equilateral triangle with perimter 180cm . Find the area of the signal board.

ans is=Equilateral triangle

Solve for area

A≈1558.85cm²

P Perimeter

180

cm

Answer 2

Step-by-step explanation:

Given Perimeter =180 cm

Semi-perimeter s= 180/2

s=90 cm

Since all sides of equilateral triangle are equal

So,

Perimeter =180

a+a+a=180

3a=180

a=60 cm

Area of triangle = ✓s(s−a)(s−b)(s−c)

=✓ 90(90−60)(90−60)(90−6)

= ✓90×30×30×30

=✓ (9×3×3×3)×(10)^4

= ✓(9^2 )×3×(10)^4

=9×✓ 3×(10)^2

=9×100× ✓3

=900 ✓3

hope this will help you