SOLUTION: what is the length of the long side of a 30-60-90 triangle if the length of the hypotenuse is 9? Also, what is the length of the small side?

Algebra ->  Pythagorean-theorem -> SOLUTION: what is the length of the long side of a 30-60-90 triangle if the length of the hypotenuse is 9? Also, what is the length of the small side?      Log On


   



Question 575782: what is the length of the long side of a 30-60-90 triangle if the length of the hypotenuse is 9? Also, what is the length of the small side?
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
what is the length of the long side of a 30-60-90 triangle if the length of the hypotenuse is 9? Also, what is the length of the small side?
..
In a 30-60-90 right triangle the shorter side is always opposite the 30 deg angle and therefore is half of the hypotenuse=4.5
The longer side, by trigonomtry or Pythagorean Theorem=9*√3/2≈7.79