SOLUTION: find the exact lengths of the legs of a 30-60-90 degree triangle if the hypotneuse is 12 cm

Question 269934: find the exact lengths of the legs of a 30-60-90 degree triangle if the hypotneuse is 12 cm

Found 2 solutions by Alan3354, dabanfield:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Short side = 12*sin(30) = 6
Other side = 12*cos(30) =
=

Answer by dabanfield(803) (Show Source): You can put this solution on YOUR website!
find the exact lengths of the legs of a 30-60-90 degree triangle if the hypotneuse is 12 cm
In a 30-60-90 right triangle the side opposite the 30 degree angle is half the hypotenuse, in this case 12/2 = 6cm. Let x be the remaining side.
Using the Pythagorean Theorem we have then:
12^2 = 6^2 + x^2
x^2 = 144 - 36
x^2 = 108
x = sqrt(108) = sqrt(36*3) = sqrt(36)*sqrt(3)
x = 6*sqrt(3)
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