SOLUTION: How do I find the missing sides of the triangles when each trianlge measues 30,60,90 degrees and the leg is 8 Thank you

Question 155122: How do I find the missing sides of the triangles when each trianlge measues 30,60,90 degrees and the leg is 8
Thank you
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
How do I find the missing sides of the triangles when each trianlge measues 30,60,90 degrees and the leg is 8
----------------------------------
That depends on whether the 8 is opposite the 30 or the 60 degree angle.
--------------------
If it is opposite the 30 degree angle, it is half the hypotenuse, so
the hypotenuse would have to be 16 and the 3rd side would have to be
sqrt[16^2 - 8^2]
----------------------
If is is opposite the 60 degree angle, the side opposite the 30 is "x"
and the hypotenuse is 2x.
Then (2x)^2 = x^2 + 8^2
3x^2 = 64
x^2 = 64/3
x = 8/sqrt(3)
2x = 16/sqrt(3)
=====================
Cheers,
Stan H.
RELATED QUESTIONS
a 30-60-90 trianlge has a shorter leg that measurs 14 inches. find the length of the... (answered by cleomenius)

I have a 30-60-90 triangle, and the long leg is 33 degrees. How do I find the short leg... (answered by MathLover1,MathTherapy)

How do you apply the formula of 30 60 90 to special right triangles?these are the... (answered by richwmiller)

given the short leg of a 30-60-90 triangle, how do you find the other two... (answered by josmiceli)

doing special right triangles (30-60-90) - if you are given a 30-60-90 triangle and the... (answered by josmiceli)

If one 30 - 60 - 90 triangle has a short leg 8 inches long, and another has a short leg... (answered by ewatrrr)

how do i do the 45 45 90 and the 30 60 90... (answered by Alan3354,CharlesG2,Edwin McCravy)

how do you fin the lgs of an isosceles triangle when te hypotenuse is 41. i really need... (answered by askmemath)

"In a 30-60-90 triangleABC with right angleB, and shortest leg lineAB=5, find the lengths (answered by tommyt3rd)