Question

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 it s perimeter is 180cm , what Will be the area of the signal board?​

Answer 1

Answer:

→ Hey Mate ,

→ Given Question : 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 it s perimeter is 180cm , what Will be the area of the signal board?​

→ Step-by-step explanation:

→ Answer:-  p = a + a + a = 3a

→                   s = 3a / 2

→ Ar of a triangle Δ   =   √ s ( s-a ) (s -b) (s-c)  

→ Area of  Δ triangle   =  √ 3a / 2 ( 3a / 2 -a  ) ( 3a /2  - a ) (  3a / 2 - a)

→           =  √ 3a /2 × ( 3a - 2a / 2)  ( 3a -29 / 2  ) ( 3a - 29 / 2)

→           =  √ 3a /2 × a / 2  × a / 2  × a/2

→           =  α ² / 4√3

→          =    √3  a ²/ 4

→ per = 3α= 180

→       = α =180 / 3

→       = α = 60

→ ( 60)² / 4 √3 = 3600 / 4 √ 3

→ 900√3 cm²

→ 900√3 cm² is the answer.

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Answer 2

Answer:

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