SOLUTION: I am really confused with this problem and I'm not sure how to find out the answer... The length of the hypotenuse of a 30-60-90 triangle is 10. Find the length of the two leg

Algebra ->  Triangles -> SOLUTION: I am really confused with this problem and I'm not sure how to find out the answer... The length of the hypotenuse of a 30-60-90 triangle is 10. Find the length of the two leg      Log On


   



Question 384471: I am really confused with this problem and I'm not sure how to find out the answer...

The length of the hypotenuse of a 30-60-90 triangle is 10. Find the length of the two legs.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The length of the hypotenuse of a 30-60-90 triangle is 10. Find the length of the two legs.
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The side opposite the 30 degree angle is half of the hypotenuse, or 5
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Use Pythagoras to find the 3rd side:
10^2 = 5^2 + x^2
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x^2 = 100-25
x^2 = 75
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x = 5*sqrt(3)
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Cheers,
Stan H.