Williams' Wonderful World of Math

45 - 45 - 90 Right Triangle
1.  Isosceles Right Triangle - One leg is congruent to another.
2.  Multiply by the square root of two to go from one leg to the hypotenuse.
3.  Divide by the square root of two to go from the hypotenuse to one of the legs.
4.  If there is a whole number in the hypotenuse, divide by two and "pop-on" the 
     square root of two.

30 - 60 - 90 Right Triangle
1.  Double the short leg to go from the short leg to the hypotenuse.
2.  Multiply by the square root of three to go from the short leg to the long leg.
3.  If the long leg is a whole leg, divide by three and "pop-on" on the square root 
     of three.
4.  Divide by the square root of three to go from the long leg to the short leg. 

 

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