Find the lengths of the missing sides in the triangle. Use the 45 degrees-45 degrees-90 degrees Triangle Theorem. Write your answers as integers, in radical form, or as decimals rounded to the nearest tenth. the diagram is not drawn to scale.
If we have a 45-45-90 triangle, we know that the two legs are congruent and the length of the hypotenuse is √2 times the length of one of the legs.
Let's say the length of each leg is x. Then, the hypotenuse will be x√2.
So, if we are given a triangle with one leg of length 5, the other leg will also be 5, and the hypotenuse will be 5√2.
Therefore, the missing sides in the triangle are:
- The length of the other leg: 5
- The length of the hypotenuse: 5√2