Quandaries
and Queries 

How do you find the length of the hypotenuse of a 306090 triangle when the side opposite the 60 degree angle is 6 inches? Amy Student Secondary 

Hi Amy, What I remember is that for a 306090 triangle the sides are in the ratio of
2 is the largest of the three numbers so it is the length of the hypotenuse, and 1 is the smallest of the three numbers so it is the length of the side opposite the 30^{o} angle.
In your triangle the length of the side opposite the 60^{o} angle is 6 inches. In my triangle the length of that side is sqrt(3) inches. Thus the sides in your triangle are 6/sqrt(3) times as large as the sides in my triangle. Hence your triangle has side lengths
Penny 

