pls find the answer pls help
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let the shortest side be x
then the third side equals to x+1
then the hypotenuse =x-1
x+x-1=x+1
2x-1=x+1
2x-x=1+1
x=2m
x+1=2+1=3m
x-1=2-1=1m
then the third side equals to x+1
then the hypotenuse =x-1
x+x-1=x+1
2x-1=x+1
2x-x=1+1
x=2m
x+1=2+1=3m
x-1=2-1=1m
Answered by
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let the shortest side be x then
a/q the hypotenuse will be..2x-1
third side=x+1....now
![{(2x - 1)}^{2} = {x}^{2} + {(x + 1) }^{2} \\ 4 {x}^{2} + 1 - 4x = 2 {x}^{2} + 1 + 2x \\ 2 {x}^{2} - 6x = 0 \\ 2x(x - 3) =0 \\ x = 0 \\ x = 3 {(2x - 1)}^{2} = {x}^{2} + {(x + 1) }^{2} \\ 4 {x}^{2} + 1 - 4x = 2 {x}^{2} + 1 + 2x \\ 2 {x}^{2} - 6x = 0 \\ 2x(x - 3) =0 \\ x = 0 \\ x = 3](https://tex.z-dn.net/?f=+%7B%282x+-+1%29%7D%5E%7B2%7D++%3D++%7Bx%7D%5E%7B2%7D++%2B++%7B%28x+%2B+1%29+%7D%5E%7B2%7D+%5C%5C+4+%7Bx%7D%5E%7B2%7D++%2B+1+-+4x+%3D+2+%7Bx%7D%5E%7B2%7D++%2B+1+%2B+2x+%5C%5C+2+%7Bx%7D%5E%7B2%7D++-+6x+%3D+0+%5C%5C+2x%28x+-+3%29+%3D0+%5C%5C+x+%3D+0+%5C%5C+x+%3D+3)
a/q the hypotenuse will be..2x-1
third side=x+1....now
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