Question

EXERCISE 12.1
1.
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?





please help me by solving this​

Answer 1

Resposta:

S=900√3 cm²

Explicação passo-a-passo:

Perimeter (P) = 180 cm

Equilateral triangle: P=3a

3a=180

a=180/3

a=60 cm

Heron's formula

S=√p(p-a)(p-a)(p-a), Area (S) and Semi-perimeter (p)

S=√p(p-a)(p-a)²

S=(p-a)√p(p-a)

p=P/2=180/2=90 cm

S=(90-60)√90(90-60)

S=30√90.30

S=30√2700

S=30√30².3

S=30.30√3

S=900√3 cm²