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To find the length of the unknown side, you can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, we have a leg of 4 and a hypotenuse of 18. Let's call the unknown side x.
Applying the Pythagorean theorem, we can write:
x^2 + 4^2 = 18^2
Simplifying:
x^2 + 16 = 324
Subtracting 16 from both sides:
x^2 = 308
Taking the square root of both sides:
x ≈ √308
Using a calculator to find the approximate value:
x ≈ 17.5
Therefore, the length of the unknown side, rounded to the nearest tenth, is 17.5.
So, the correct answer is 17.5.