Question

The perimeter of an equilateral triangle measures √3 times metres as the area of the equilateral triangle measures in

square metres. Find the length of its side. Pls explain IN DETAIL. BEST EXPLAINED will be marked as brainliest.

Answer 1

Answer:

side=2/3

Step-by-step explanation:

area of an equilateral triangle= (√3×side²)/4              (equation 1)

perimeter of a triangle=3×side                                  (equation 2)

as in the question,

perimeter=∛area

area=perimeter³                        (equation 3)

comparing equation 1 & 3

(√3×side²)/4=perimeter³

(√3×side²)/4=(3×side)³

(√3×side²)/4=27× side³                

√3/4=27×side

4=6×side

side=4/6

side=2/3