Answer :
Answer:
The set of numbers is not a Pythagorean Triple.
Step-by-step explanation:
To determine whether a set of three numbers is a Pythagorean Triple, the equation a² + b² = c², where c is the largest number, must hold true.
Solving the Left-Hand Side (LHS)
Let's first solve the left-hand side of the equation, or a² + b². In the set of numbers given in the question, 2 and 6 are the smaller numbers. Plugging these values into the equation, we get:
2² + 6² = 4 + 36 = 40
Solving the Right-Hand Side (RHS)
Now, we will solve the right-hand side of the equation. The largest number in the set is 9.
9² = 81
Comparing the LHS and RHS
The value of the left-hand side is 40, while the value of the right-hand side is 81. Since 40 ≠ 81, then a² + b² ≠ c² and this set of numbers is not a Pythagorean Triple.