Question

A traffic signal board, indicating ‘SCHOOL AHEAD’, is an equilateral triangle with side a. a) Find the area of the signal board, using Heron’s formula. b) If its perimeter is 180 cm, what will be the area of the signal board? c) Find area if side is 10 d) If its area is 120 find its side e) Find area if side is 20 ​

Answer 1

Answer:

900√3

Step-by-step explanation:

S= a+a+a = 3a

2. 2

area of triangle = √s(s-a) (s-b) (s-c)

=√s(s-a) (s-a) (s-a)

=√s(s-a)³

=√3a (3a-a)³

2. 2

=√3a×(a)²

2. 2

= √3a4. =√3a²

2⁴ 4

NOW ITS PERIMETER =180

a+a+a=180

3a=180

= 180. =60

3

THUS ,AREA OF TRIANGLE

=√3a²

4

=√3×60×60

2

=900√3 vm²