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In order to have a hypotenuse, the triangle must be a right triangle - in this case we have an isosceles right triangle. Using the Pythagorean theorem:

a2 + b2 = c2

152 + 152 = c2

225 + 225 = c2

450 = c2

c = √450

c = √2*9*25

c = 15√2

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