The height of an equilateral triangle having each side 12 cm, is
Since Δ ABC is an equilateral triangle so the altitude (Height = h) from the C is the median for AB dividing AB into two equal halves of 6 cm each
Now there are two right angled Δs
h2 = a2 - 1/2 (AB) 2
h2 = (12)2 - 62
h = 6 √3