Question

Which set of side lengths could be the side lengths in a right triangle? A. 8, 20, 25 B. 9, 40, 41 C. 10, 40, 45 D. 6, 30, 31

Answer 1

its b i did the quiz

Explanation:

Answer 2

Option B can be the side lengths in a right triangle.

Explanation:

The sides of a right triangle obey the Pythagoras Theorem which gives

`(\textrm {Hypotenuse})^(2) = (\textrm {Base})^(2) + (\textrm {Perpendicular})^(2)`

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)