Find the lengths of the missing sides in the triangle. The triangle is a 7 y and 45 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 it is a 45-45-90 triangle, the two legs are congruent in length.
Let the length of the legs be x.
Using the Pythagorean theorem, we have:
x^2 + x^2 = 7^2
2x^2 = 49
x^2 = 24.5
x = √24.5
x ≈ 4.9
So, the length of the missing sides in the triangle is approximately 4.9 units.