Question

1. 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?​

Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Given Perimeter = 180 cm

Semi-perimeter s=

2

180

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)(90-60) =

90×30×30×30 =

(9×3×3×3)×(10)

4 =

(9

2

)×3×(10)

4 = 9×

3

× (10)

2 = 9× 100×

3

=

900

3

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