SOLUTION: hello there, and thank you very much for all your help! my question tonight is: i have a 30-60-90 triangle shortest leg:a other leg:b hypotenuse: 8 find the value of

Algebra ->  Triangles -> SOLUTION: hello there, and thank you very much for all your help! my question tonight is: i have a 30-60-90 triangle shortest leg:a other leg:b hypotenuse: 8 find the value of      Log On


   



Question 410922: hello there, and thank you very much for all your help!
my question tonight is:
i have a 30-60-90 triangle
shortest leg:a
other leg:b
hypotenuse: 8
find the value of each variable
thanks a lotttttt! :D

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
The ratios of the sides of a 30-60-90 triangle are 1:sqrt(3):2. The longest side (hypotenuse) is 8, so

1:sqrt(3):2 = a:b:8. Solving, we get a = 4 and b = 4sqrt%283%29.