In a 45-45-90 right triangle, the relationship between the lengths of the sides is given by the ratios: both legs are equal, and the hypotenuse is \(\sqrt{2}\) times the length of each leg.
In the case of the second triangle, we know that the length of the leg (the side opposite the 45-degree angle) is 14.
To find the hypotenuse, we can apply the formula for a 45-45-90 triangle:
\[ \text{Hypotenuse} = \text{leg} \times \sqrt{2} \]
Substituting in the value of the leg:
\[ \text{Hypotenuse} = 14 \times \sqrt{2} = 14\sqrt{2} \]
Thus, the length of the hypotenuse in the second triangle is:
The hypotenuse of the second triangle has a length of \(14\sqrt{2}\).
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