Find the length of the unknown side. Round your answer to the nearest tenth. (4 points)
Image of a right triangle with a leg of 4, hypotenuse of 18, and second leg unknown.
16.5
17.5
18.5
22.0
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.