SOLUTION: he hypotenuse of a 30 60 90 triangle has the length of 13 whats is the length of the side opposite 60

Algebra ->  Pythagorean-theorem -> SOLUTION: he hypotenuse of a 30 60 90 triangle has the length of 13 whats is the length of the side opposite 60      Log On


   



Question 463493: he hypotenuse of a 30 60 90 triangle has the length of 13 whats is the length of the side opposite 60
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
We know that the length of the side opposite 30 is half of the hypotenuse length,
thus this side is 13/2. To find the length of the side opposite 60 we use
Pythagorean theorem: 13%5E2-%2813%2F2%29%5E2=x%5E2=> x%5E2=+169-169%2F4=3%2A169%2F4=>
x=sqrt%283%2A169%2F4%29=> x=%2813%2F2%29sqrt%283%29.