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Answer:
≈ 13.7
Step-by-step explanation:
Using Pythagoras' identity on the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let x be the length of the third side, then
x² + 10² = 17², that is
x² + 100 = 289 ( subtract 100 from both sides )
x² = 189 ( take the square root of both sides )
x = ≈ 13.7