SOLUTION: I am asked the values of the variables in a 30-60-90 special right triangle. I am given 9 as the longer leg, x as the shorter leg, and 3root10 for the hypotenuse. This is what I fi

Algebra ->  Triangles -> SOLUTION: I am asked the values of the variables in a 30-60-90 special right triangle. I am given 9 as the longer leg, x as the shorter leg, and 3root10 for the hypotenuse. This is what I fi      Log On


   

Question 423980: I am asked the values of the variables in a 30-60-90 special right triangle. I am given 9 as the longer leg, x as the shorter leg, and 3root10 for the hypotenuse. This is what I first tried:
9/root3= 12/root2= x/1. I cross multiplied, then divided and added both answers together to get my final answer. My final answer was 3root10/2. Im confused on how to solve this problem.
Answer by linht117(37) About Me  (Show Source):
You can put this solution on YOUR website!
little leg= hypotenuse/2 or long leg/root3
long leg= little leg * root3
hypotenuse= little leg *2
9/root3*root3/root3=9root3/3=3root3
answer is 3root3