Question

a traffic signal board,indicating school ahead ,ia an equilateral triangle with side 'a'.find the area of the signal board using herons formula.if its perimeter is 180cm .what will be the area of the signal board? (answer it fast)​

Answer 1

Answer:

900√3 cm²

Step-by-step explanation:

Side of an equilateral triangle = a

perimeter = a + a + a = 3a

perimeter = 180cm

3a = 180cm

a = 60cm

Area of an equilateral triangle = √3/4 a²

=> √3/4 x 60 x 60

√3 x 15 x 60

=> 900√3 cm²