Respuesta :
Answer:
Option B can be the side lengths in a right triangle.
Step-by-step explanation:
The sides of a right triangle obey the Pythagoras Theorem which gives
[tex](\textrm {Hypotenuse})^{2} = (\textrm {Base})^{2} + (\textrm {Perpendicular})^{2}[/tex]
We know that the length of hypotenuse of a right triangle is the longest side of the triangle.
Now, we have to select from options which side length combination is of a right triangle.
In option A, 25² ≠ 8² + 20². Hence, it does not represent a right triangle.
In option B, 41² = 9² + 40². Hence, it represents a right triangle.
In option C, 45² ≠ 10² + 40². Hence, it does not represent a right triangle.
In option D, 31² ≠ 6² + 30². Hence, it does not represent a right triangle.
Therefore, option B can be the side lengths in a right triangle. (Answer)
