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. The triangle is a 7 y and 45 triangle.
Since the triangle is a 45-45-90 triangle, we know that the two legs are congruent and the hypotenuse is √2 times the length of each leg.
Let the length of the legs be x. Then, the hypotenuse is √2 * x.
Given that the length of one leg is 7, we have:
x = 7
Hypotenuse = √2 * 7 = 7√2
Therefore, the lengths of the missing sides in the triangle are:
Legs: 7
Hypotenuse: 7√2