A) A right triangle has a hypotenuse of length 10√2 and an angle of 45 degrees, with a side opposite this angle with a length of 10. A second right triangle also has an angle of 45 degrees, with a side opposite this angle with a length of 14. Determine the length of the hypotenuse in the second triangle. (1 point) Item 1 2 of 17 Item 2 Item 3 Item 4 The hypotenuse of the second triangle has length 7. Item 5 The hypotenuse of the second triangle has length 14/2 Item 6 The hypotenuse of the second triangle has length 14. Item 7 The hypotenuse of the second triangle has length 7/2

In a right triangle with a 45-degree angle, the sides opposite the 45-degree angles are equal, and the hypotenuse can be found using the formula:

\[ \text{Hypotenuse} = \text{side} \times \sqrt{2} \]

For the second triangle, where the side opposite the 45-degree angle has a length of 14, we can calculate the hypotenuse as follows:

\[ \text{Hypotenuse} = 14 \times \sqrt{2} \]

Calculating that gives:

\[ \text{Hypotenuse} = 14 \sqrt{2} \]

Now, let's analyze the options provided:

1. The hypotenuse of the second triangle has length 7.
2. The hypotenuse of the second triangle has length \( \frac{14}{2} \) (which equals 7).
3. The hypotenuse of the second triangle has length 14.
4. The hypotenuse of the second triangle has length \( \frac{7}{2} \) (which equals 3.5).

None of these options match the hypotenuse length \( 14\sqrt{2} \) directly.

However, if we did the calculation step by step or were seeking to confirm, we could say that the hypotenuse for the second triangle is indeed \( 14\sqrt{2} \). None of the given answer choices directly match or represent that hypotenuse.

Thus, none of the options are correct based on the calculations presented. If my initial calculations have in any way misrepresented the intent or correct scope of the options specified, please provide context for which option you're considering, and I could assist in clarifying further.