Question

Given a 30-60-90 triangle, find the length of the longer side if the hypotenuse is 12cm. (Use sq rt as the square root symbol)

Answer 1

In any 30-60-90 triangle, the sides have a ratio of

shorter : longer : hypothenuse = a : a*sqrt(3) : 2a

Answer 2

thats not what im looking for i need the length of the longer side

Answer 3

If you look at what I wrote, you'll know the lenght of the longer side at once.

Further hint:

In your triangle, 2a = 12.
Calculate a from this and then the longer side is a* sqrt(3) !