If a \( 45^{\circ}-45^{\circ}-90^{\circ} \) triangle has a hypotenuse of 7.07 , find the length of each leg. (Round your answer to the nearest whole number.) Answer:

In a \( 45^{\circ}-45^{\circ}-90^{\circ} \) triangle, the legs are equal in length and relate to the hypotenuse by the formula \( \text{leg} = \frac{\text{hypotenuse}}{\sqrt{2}} \). So, you can find the length of each leg by calculating \( \frac{7.07}{\sqrt{2}} \), which is approximately \( 5 \) when rounded to the nearest whole number. Thus, the length of each leg is about 5 units.