Answered

Westonci.ca is the best place to get answers to your questions, provided by a community of experienced and knowledgeable experts. Experience the ease of finding quick and accurate answers to your questions from professionals on our platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

Any set of positive integers that satisfies the equation asquaredplusbsquaredequalscsquared is a Pythagorean triple. Determine whether the set of numbers is a Pythagorean triple. 2 comma 6 comma 9

Sagot :

iciclepiano18

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.

Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.