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the hypotenuse of a 45 degree-45degree-90 degree triangle is 60 ft long. how long is each leg?
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divide by the square root of two
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since both angles are equal, both legs are equal if you call the length of the leg \(a\) then pythagoras tells you \[a^2+a^2=h^2\] \[2a^2=h^2\] \[a\sqrt2=h\] in other words the hypotenuse is the leg times the square root of two
since your hypotenuse is \(60\) you divide by \(\sqrt2\) to get the length of the sides, i.e. they are both \(\frac{60}{\sqrt2}\)
k whats that equal
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i dont have that as a choice
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