SOLUTION: if you have a hypotenuse triangle with one angle 30 degrees and one side 10. How do you find the length of the other side. the answers that they give are a: 10 square root of 2

Algebra ->  Rectangles -> SOLUTION: if you have a hypotenuse triangle with one angle 30 degrees and one side 10. How do you find the length of the other side. the answers that they give are a: 10 square root of 2       Log On


   

Question 326629: if you have a hypotenuse triangle with one angle 30 degrees and one side 10. How do you find the length of the other side.
the answers that they give are a: 10 square root of 2
b: 10 square root of 3
c: 5 square root of 3
d: 5 square root of 2
how do you calculate it? i don't know how to calculate when i only have one side.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
I think you mean right triangle instead of hypotenuse triangle.
If it's a right triangle and you know one angle is 30, the other angle is 60.
In terms of the hypotenuse, the two sides would be
A=H%2Acos%2830%29
B=H%2Asin%2830%29
From your description, I'm not sure which one equals 10 (A or B).
We'll do it both ways.
A=10
H%2Acos%2830%29=10
H%2Asqrt%283%29%2F2=10
H=20%2Fsqrt%283%29
B=Hsin%2830%29
B=%2820%2Fsqrt%283%29%29%281%2F2%29=10%2Fsqrt%283%29
B=10sqrt%283%29%2F3
Not one of the choices, try the other.
.
.
.
B=10
Hsin%2830%29=10
H%281%2F2%29=10
H=20
A=Hcos%2830%29
A=20%2A%28sqrt%283%29%2F2%29
A=10sqrt%283%29
Looks like we have a winner since it's one of the choices.