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In the givenright triangle, the perimeter is 12 in.According to thePythagorean theorem, in aright triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the length of the two legs (a and b). Hence,c^2 = a^2 + b^2In the given triangle,c = x ina = 3 inb = 4 inHence,x^2 = 3^2 + 4^2x^2 = 9 + 16x^2 = 25x = √25x = 5Theperimeterof a geometric shape is the sum of all its side. Hence,Perimeter = 3 + 4 + 5 = 12 inNote: The question is incomplete. The complete question probability is: Using the Pythagorean theorem, find the perimeter of the triangle.Learn more aboutPythagorean theorem:brainly.com/question/28981380#SPJ4...