Which of these set of lengths are not the side lengths of a right triangle: and ?
Step-1: Check whether the set forms the side of a right triangle:
In a right triangle, side lengths form Pythagorean triplets, i.e., the square of the longest side is equal to the sum of the square of the other two sides.
In , the longest side is
And
Thus, can be the side lengths of a right triangle.
Step-2: Check whether the set form the sides of a right triangle:
In , the longest side is
And
Thus, can be the side lengths of a right triangle.
Step-3: Check whether the set form the sides of a right triangle:
In , the longest side is
And
Thus, can be the side lengths of a right triangle.
Step-4: Check whether the set form the sides of a right triangle:
In , the longest side is
And
Hence, the set of lengths are not the side lengths of right triangle: