Which set represents a Pythagorean triple?
A. 1,2,4
B. 2,4,6
C. 3,4,10
D. 5,12,13
Is the answer D?
Thanks
D is correct for the answer.
Thank you
You're welcome! :)
Yes, the answer is D. The set {5, 12, 13} represents a Pythagorean triple because it follows the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, 5^2 + 12^2 = 25 + 144 = 169, and the square root of 169 is 13. Therefore, 5, 12, and 13 form a Pythagorean triple.
To determine which set represents a Pythagorean triple, you can check if it satisfies the Pythagorean theorem. Square the lengths of the two shorter sides and add them together. Then find the square root of the sum. If the result is equal to the length of the longest side (the hypotenuse), then it is a Pythagorean triple.