8.5. 30-60-90 Right Triangles http://www.ck12.org
Guided Practice
- Find the length of the missing sides.
- Find the value ofxandy.
3.xis the hypotenuse of a 30-60-90 triangle andyis the longer leg of the same triangle. The shorter leg has a length
of 6.
Answers:
- We are given the hypotenuse. 2x=20, so the shorter leg,f=10, and the longer leg,g= 10
√
3.
- We are given the hypotenuse.
2 x= 15√
6
x=15
√
6
2
The, the longer leg would bey=
(
15√
6
2)
·
√
3 =^15
√
18
2 =
45√
2
2- We are given the shorter leg.
x= 2 ( 6 )
x= 12
The longer leg is
y= 6 ·√
3 = 6
√
3
Explore More
- In a 30-60-90 triangle, if the shorter leg is 5, then the longer leg is __ and the hypotenuse is _-
__.