Question

An equilateral triangle has a perimeter of 21 m. If the area is multiplied by 1/2 (one-half), what is the new side length?

Answer 1

A = 1/4(s^2)(√3)
A = 1/4(49)(√3)
A = 49√3/4
After multiplying by 1/2, then it's 49√3/8
1/4(s^2)(√3) = 49√3/8
s^2 = 49/2
s = 7/√2 = 7√2/2