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Answer :

Answer:

≈ 4.7 mm

Step-by-step explanation:

Using Pythagoras' identity in 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 missing side , then

x² + 5.2² = 7²

x² + 27.04 = 49 ( subtract 27.04 from both sides )

x² = 21.96 ( take square root of both sides )

x = [tex]\sqrt{21.96}[/tex] ≈ 4.7 mm ( to the nearest tenth )