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Answer:

28

Step-by-step explanation:

Since this is a right triangle, we can use the pythagorean theorem

a^2 +b^2 = c^2  where a and b are the legs and c is the hypotenuse

a^2 + 45^2 = 53^2

a^2 +2025=2809

a^2 = 2809-2025

a^2 =784

Take the square root of each side

sqrt(a^2) = sqrt(784)

a =28

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