For any 30-60-90 triangle: Let the length of hypotenuse = x ∴ The leg which faces the angle 30 = (1/2) x And the leg which faces the angle 60 = (√3/2) x So, The ratio between two legs will be = (1/2) x : (√3/2) x ⇒⇒⇒⇒ divide over x = 1/2 : √3/2 ⇒⇒⇒⇒ multiply by 2 = 1 : √3
Or the ratio will be
= (√3/2) x : (1/2) x ⇒⇒⇒⇒ divide over x = √3/2 : 1/2 ⇒⇒⇒⇒ multiply by 2 = √3 : 1 ==============================