To find the hypotenuse of a right triangle, we can use the Pythagorean theorem:
\[ c = \sqrt{a^2 + b^2} \]
where \( c \) is the length of the hypotenuse, and \( a \) and \( b \) are the lengths of the other two sides.
Since the problem suggests using specific lengths, it seems like those options provided can be \( a \) and \( b \). Here are the options given:
- A: \( 158 \)
- B: \( 160 \)
- C: \( 121 \)
- D: \( 46 \)
However, you did not specify which two lengths to use for finding the hypotenuse. Assuming you want to calculate the hypotenuse using two of the provided lengths, let's say we use lengths A and B:
- Calculate the hypotenuse using \( a = 158 \) and \( b = 160 \):
\[ c = \sqrt{158^2 + 160^2} = \sqrt{24964 + 25600} = \sqrt{50564} \]
Now, finding the square root:
\[ c \approx 224.09 \text{ (rounded to the nearest hundredth)} \]
If you meant to use a different combination, please specify which lengths should be used, and I can help calculate the hypotenuse using those.
As of now, if we used \( 158 \) and \( 160 \), the length of the hypotenuse rounded to the nearest hundredth is 224.09.
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