Answer:
....an equilateral triangle has 3 equal sides, if the eperimeter = 6cm each side = 2cm
In an equilateral triangle, the four remarkable straight lines relating to the same vertex (median*, median, height and bisector) coincide.
equilateral triangle ABC vertex A
AH height from A to BC,
according to the properties of the equilateral triangle, AH =height, median from A to BC--->BH=HC
area = (base*height)/2
base =BC, height=AH
we calculate AH in the right-angled triangle AHB:
AH²=AB²-BH²
AH² = 2²-1²
AH = V3
Area =(2*V3)/2 =2V3/2=V3cm²≈1.732052...1.73cm²
Explanation: