Question

Find the lengths of the missing sides in the triangle. Use the 45 degrees-45 degrees-90 degrees 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.

Answer 1

Since the triangle is a 45-45-90 triangle, the two legs are congruent and the hypotenuse is \(\sqrt{2}\) times the length of a leg.

Let's say one leg has a length of 5 units. Then the hypotenuse would be \(5\sqrt{2}\) units.

Therefore, the missing sides in the triangle would also be 5 units and \(5\sqrt{2}\) units.