## Elementary Geometry for College Students (6th Edition)

x=9$\sqrt 2$ y=9
In a 30 60 90 triangle the short leg is equal to the long leg divided by the square root of 3, therefore: y=9. The hypotenuse of a 30 60 90 triangle is equal to twice the short leg, therefore: hypotenuse=18. The legs of a 45 45 90 triangle are equal to the hypotenuse divided by the square root of 2 therefore: x=$\frac{18}{\sqrt 2}$. x=9$\sqrt 2$