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Let the sides be x and y:-

x+y = 40.2-17.42 => y = 22.78-x

Using Pythagoras: x^2+(22.78)^2 = 17.42^2

As a quadratic equation: 2x^2++215.472-45.56x = 0

Solving the equation: x = 6.7 cm and y = 16.08 cm

Check: 6.7+16.08+17.42 = 40.20 cm which is its perimeter

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Q: What are the side length of a right angle triangle with a hypotenuse of 17.42 cm and a perimeter of 40.20 cm showing work?
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