Question

A traffic signal board indicating ‘SCHOOL AHEAD’ is
an equilateral triangle with side a, then what is the height
of the traffic signal?

Answer 1

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

 

                          =9×100×  

3

​  

 

                          =900  

3

​  

 

Step-by-step explanation: