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Step-by-step explanation:
Let the length of shortest side = X cm
According to question,
Middle side = X+49 cm
Longest side = X+49+1=X+50 vm
Using Pythagoras theorem,
(X+50)^2 = X^2 + (X+49)^2
X^2 + 2500 + 100X = 2X^2 + 98X +
2401
X^2-2X-99=0
X^2-11X+9X-99=0
X(X-11) + 9(X-11)=0
(X-11)(X+9)=0
=>X=11cm , X=-9cm(side cannot be
negative)
So, Length of the shortest side = 11cm
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