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.

Answer 1

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