Let equal side = a and hypotenuse = h
h^2 = a^2 + a^2
=> a = h/sqrt(2)
Also, 2a + h = 16 + 16(sqrt(2))
putting, a = h/sqrt(2), in this eq, we get,
h + h(sqrt(2)) = 16 + 16(sqrt(2))
=> h = 16


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