Final answer:
The length of the hypotenuse in the given right triangle is 10√2. Therefore, the length of the hypotenuse x is 10√2 in simplified radical form.
Step-by-step explanation:
The length of the hypotenuse in a right triangle can be found using the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the two legs.
In this case, the legs of the triangle are 10 and 10, so the equation becomes x² = 10² + 10².
Simplifying, we get x² = 200.
To find the length of the hypotenuse, we take the square root of both sides of the equation, yielding x = √200.
The square root of 200 can be simplified as x = 10√2.
Therefore, the length of the hypotenuse x is 10√2 in simplified radical form.