Question

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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?
heron's formula
std 9
chapter 12


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Answer 1

MATHS

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 ?.

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ANSWER

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

=900

3

Answer 2

Answer:

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