SOLUTION: With a 30-60-90 TRIANGLE and assign the side opposite the 30 degree angle a value if 'X'. Using the pythogorean Theorem and the trigonometric functions (sin,Cos, Tan) prove that t

Algebra ->  Finance -> SOLUTION: With a 30-60-90 TRIANGLE and assign the side opposite the 30 degree angle a value if 'X'. Using the pythogorean Theorem and the trigonometric functions (sin,Cos, Tan) prove that t      Log On


   



Question 1028995: With a 30-60-90 TRIANGLE and assign the side opposite the 30 degree angle a value if 'X'. Using the pythogorean Theorem and the trigonometric functions (sin,Cos, Tan) prove that the opposite the 60 degree angle is ×square root 3 and the hypotenuse is 2x.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
sin+A+=+1%2F2+=+x%2FAC

AC = 2x


By Pythagoras theorem
(2x)^2 = x^2 + AB^2
4x^2 =x^2+AB^2
3x^2 = AB^2
take the square root
AB+=+sqrt%283%29X