Find the lengths of the missing sides in the triangle. Use the 45 degree -45 degree -90 degree 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.
Since we have a 45-45-90 triangle, we know that the ratio of the sides is 1:1:√2.
Let x be the length of the two equal sides. Then, the length of the hypotenuse would be x√2.
Given that one of the equal side lengths is 5, we can plug in this value for x:
x = 5
Hypotenuse = 5√2 ≈ 7.1
Therefore, the lengths of the missing sides in the triangle are approximately 5 and 7.1.