SOLUTION: Write a formula for the length c of the hypotenuse of a 30 -60 -90 triangle if a is the length of the shorter leg.

Algebra ->  Triangles -> SOLUTION: Write a formula for the length c of the hypotenuse of a 30 -60 -90 triangle if a is the length of the shorter leg.      Log On


   



Question 1074913: Write a formula for the length c of the hypotenuse of a 30 -60 -90 triangle if a is the length of the shorter leg.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the law of sines,
sin%2890%29%2Fc=sin%2830%29%2Fa
c%2Asin%2830%29=a
c=a%2Fsin%2830%29
c=a%2F0.5
c=2a