Given a 30-60-90 triangle whose shortest leg is 3 centimeters what is the length of the hypotenuse

the lenght of the hypotenuse is determined either by taking into account sin 30, respectively sin60 and/or cos60, respectively cos30.

Sin 30 = cos60=1/2

the opposite line to the 30 degrees angle is (in this case) called "the shortest leg"

Therefore the value of the hypothenuse is 30*2=60mm