Answer:
x = 2√5
Explanation:
Isosceles right angle triangles have two congruent sides ( for more reference , kindly check the attached image ) making it a special 45-45-90 degree triangle.
Special triangles have simple easy rules to help identify the lengths of the other sides lengths. For the 45-45-90 degree triangle, the hypotenuse (longest side) is equal to the value of the triangles leg(shorter sides) times √2 ( for more reference kindly check the other attached image )
Here, the value of the leg it equal to √10
If the value of the hypotenuse (x) = leg × √2
Then the value of x = √10 × √2
x = √10 × √2 = √(10 × 2) = √20
==> simplify radical
x = 2√5