Find the lengths of the missing sides in the triangle. write your answers as integers or as decimals rounded to the nearest tenth. the diagram is not drawn to scale.

The sum of the measures of the angles of a triangle is 180.
If one angle measures 90 deg, and another angle measures 45 deg, then the third angle also measures 45 deg.
You have a 45-45-90 isosceles triangle.
The sides opposite the 45-deg angles are the legs and are congruent.
Since one leg has length 7, the other leg also has length 7.
y = 7.

Now you can use the Pythagorean theorem to find x which is the hypotenuse. You can also use the ratio of the lengths of the sides of a 45-45-90 triangle which is 1 : 1 : sqrt(2).

The hypotenuse is sqrt(2) times longer than the legs.

x = 7 * sqrt(2) = 9.899

x = 9.9; y = 7

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