To solve for the hypotenuse of the second triangle, we will use the properties of right triangles with a 45-degree angle.
In a 45-45-90 triangle, the sides opposite the 45-degree angles are equal, and the length of the hypotenuse is \( s \sqrt{2} \), where \( s \) is the length of each leg.
For the second triangle, we are given that the side opposite the 45-degree angle has a length of 14. Since both legs are equal in this triangle:
- Let the length of each leg be \( s = 14 \).
Now we calculate the length of the hypotenuse:
\[ \text{Hypotenuse} = s \sqrt{2} = 14 \sqrt{2} \]
Therefore, the length of the hypotenuse in the second triangle is \( 14\sqrt{2} \).
The correct option is:
3. The hypotenuse of the second triangle has length 14√2.