If the vertex angle of an isosceles triangle has a measure of 60 and the length of each leg is 18, find the length of the altitude drawn to

Ah, lovely, an easy one. Equilateral triangle. After this one I'm eating dinner x3

60 - 60 - 60 means all sides are equal. Altitude splits this one perfectly in half as well, and makes a 30 - 60 - 90 triangle. 30 - 60 - 90 means x - x(squareroot(3)) - 2x.

2x is equal to one of the original legs, which is 18. x is equal to the split leg, or 9. x(squareroot(3)) equals the altitude, and since x = 9, x(squareroot(3)) = 9(squareroot(3))

9(squareroot(3)) is your answer.

Are you going to eat the cookie on your avatar?

Very nicely done, GL...I was gonna' use trig, but your way is definitely more elegant.....

3 pts. and a thumb from me!!!