finding hypoteneuse

[tamiatha]

find the measurement of the hypotenuse of a 30-60-90 triangle whose longer leg has a measureof 6 meters. Give the answer in simplified radical form.
this i what i have so far:
this is a right triangle
the hypotenuse = 2 x the length of the shorter leg
the loner leg = 3 sqrt length of the shorter leg
this means the shorter leg is 2 meters and the longer leg is 6 meters
final answer is 2 sqrt 2 meters
what do you think

 

[Aladdin]

Wrong , its 4sqrt3

 

[Aladdin]

long leg: 6 meters
Let x = short leg

Because it is a 30-60-90 triangle we know that
x*sqrt3=6
Solve for x=6/sqrt3

For hypotenous:
2*6/sqrt3

http://www2.krellinst.org/UCES/archive/ ... ode20.html

 

[stapel]

find the measurement of the hypotenuse of a 30-60-90 triangle whose longer leg has a measureof 6 meters. Give the answer in simplified radical form.

To learn how to work with 30-60-90 triangles, try here and here.

To learn how to rationalize denominators, so as to be able to provide the answer in the correct form, try here.

(Apologies for any confusion caused by the previous replies. You should instead arrive at a solution value that does not have a radical in the denominator!)