Question

find the length of the greatest side of the right angled triangle if the length of other three sides are(x-2), x and (x+2) cm. ​

Answer 1

This is the answer

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Answer 2

Answer:

length of greatest side or hypotenuse is

${(x - 2)}^{2} + {(x + 2)}^{2} \\ {(x - 2)}^{2} = {(x)}^{2} - 4x + 4 \\ {x}^{2} - 4x + 4 \\ {(x + 2)}^{2} = {x}^{2} + 4x + 4 \\ {x}^{2} - 4x + 4 + {x}^{2} + 4x + 4 \\ {2x}^{2} + 8 = {hypotenuse}^{2} \\ hypotenuse = \sqrt{2}x + 2 \sqrt{2}$