SOLUTION: Find the value of x. A 30, 60, 90 degree right triangle is drawn. The 60 degree angle is labeled. The shortest leg adjacent to the 60 degree angle is labeled x. The longest leg op

Question 466177: Find the value of x.
A 30, 60, 90 degree right triangle is drawn. The 60 degree angle is labeled. The shortest leg adjacent to the 60 degree angle is labeled x. The longest leg opposite the 60 degree angle is labeled 5 times the square root of 3. The hypotenuse is labeled y.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the value of x.
A 30, 60, 90 degree right triangle is drawn. The 60 degree angle is labeled. The shortest leg adjacent to the 60 degree angle is labeled x. The longest leg opposite the 60 degree angle is labeled 5 times the square root of 3. The hypotenuse is labeled y.
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side opposite 30 degree angle = x
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therefore hypotenuse = y = 2x
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Pythagoras:
x^2 + (2x)^2 = (5sqrt(3))^2
x^2 + 4x^2 = 75
5x^2 = 75
x^2 = 15
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x = sqrt(15)
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Cheers,
Stan H.
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