Question

What is the length of each side of an equilateral triangle having an area of
a. 4cm
b. 5cm
c. 5cm
d. 6cm

Answer 1

If a is the side, then area=(a/2)(3+4+5)=6a

Semi perimeter =(3/2)a

Area using Heron’s formula=sqrt(3/2a.1/2a.1/2a.1/2a)=root3/4.a^2

Hence root3/4.a^2=6a

a=8root3

Answer 2

Answer:

see even mine also

Step-by-step explanation:

If a is the side, then area=(a/2)(3+4+5)=6a

Semi perimeter =(3/2)a

Area using Heron’s formula=sqrt(3/2a.1/2a.1/2a.1/2a)=root3/4.a^2

Hence root3/4.a^2=6a

a=8root3

That is 4