QuestionSolve for the legs of the 45-45-90 triangle. a. $x=5$ and $y=5$ b. $x=5$ and $y=5 \sqrt{2}$ c. $x=5 \sqrt{2}$ and $y=5$ d. $x=5 \sqrt{2}$ and $y=5 \sqrt{2}$

Studdy Solution
Evaluate option d: $x = 5\sqrt{2}$ and $y = 5\sqrt{2}$.
- Both legs are equal, which satisfies the condition for a 45-45-90 triangle. - The hypotenuse should be $5\sqrt{2} \times \sqrt{2} = 10$.
This option satisfies the properties of a 45-45-90 triangle.
The correct option that satisfies the properties of a 45-45-90 triangle is:
$$\boxed{d}$$