Answer:
x = 10 and y = 10√2.
Explanation:
The right triangle has another one angle of 45°.
Therefore, the angles of the right triangle are 90°-45°-45°.
Hence, it is an isosceles right triangle.
Then, the legs of the right angle are equal to be 10.
So, x = 10
Now, the length of the hypotenuse is given by Pythagoras Theorem i.e.
(Hypotenuse)² = 10² + 10²
⇒ y² = 200
⇒ y = 10√2
Therefore, x = 10 and y = 10√2. (Answer)