SOLUTION: Please help me: the triangles hypotenuse is r and the other short sides are x and y. solve for the third side of the triangle if x= 2 sqrt ( 5 ) and r= sqrt ( 38 ). Thanks!

Question 484345: Please help me: the triangles hypotenuse is r and the other short sides are x and y. solve for the third side of the triangle if x= 2 sqrt ( 5 ) and r= sqrt ( 38 ). Thanks!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
the triangles hypotenuse is r and the other short sides are x and y. solve for the third side of the triangle if x= 2 sqrt ( 5 ) and r= sqrt ( 38 ).
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Using Pythagoras:
r^2 = x^2 + y^2
38 = 4*5 + y^2
y^2 = -7
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That would make y a complex number.
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Conclusion: No Real Number solution.
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Cheers,
Stan H.
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