In the figure below, find the exact value of y . (Do not approximate your answer.)

label Mathematics
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May 21st, 2015

y^2+x^2=64

y^2-36=x^2-4, y^2=x^2+32, plug it into the equation above we get

x^2+32+x^2=64, x^2=32, x=4sqrt2

thus y=4sqrt2

May 21st, 2015

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