Question

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Answer 1

To the nearest tenth, the sides measure 4.5, 9.5, and 10.5 units.

Explanation:

`{x}^(2) + {(x + 5)}^(2) = {(x + 6)}^(2)`

`{x}^(2) + {x}^(2) + 10x + 25 = {x}^(2) + 12x + 36`

`2 {x}^(2) + 10x + 25 = {x}^(2) + 12x + 36`

`{x}^(2) - 2x - 11 = 0`

x = 4.5, so x + 5 = 9.5 and x + 6 = 10.5