Short Answer

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Find the lengths of the missing sides in the triangle. Use the 45- 45- 90 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.

The 45-45-90 Triangle Theorem states that in a triangle with two 45 degree angles, the sides opposite the 45 degree angles are congruent and the hypotenuse is √2 times the length of one of the legs.

Let's say the length of each leg is x. This means the length of the hypotenuse is x√2.

Therefore, the lengths of the missing sides in the triangle are x, x, and x√2.