Which set represents a Pythagorean triple?
A. 1, 2, 3
B. 9, 12, 16
C. 30, 40, 50
D. 38, 44, 49
Its c
I think it is A, but I am not sure.
A is wrong. Check this site.
https://www.mathsisfun.com/pythagorean_triples.html
Thanks
A Pythagorean triple is a set of three positive integers that satisfy the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the longest side (the hypotenuse).
To determine if a set represents a Pythagorean triple, we can calculate the squares of the numbers and check if the sum of the squares of the two smaller numbers equals the square of the largest number.
Let's check each option:
A. 1, 2, 3:
1^2 + 2^2 = 1 + 4 = 5
3^2 = 9
The sum of the squares of the two smaller numbers (1 and 4) is not equal to the square of the largest number (9). So, option A is not a Pythagorean triple.
B. 9, 12, 16:
9^2 + 12^2 = 81 + 144 = 225
16^2 = 256
The sum of the squares of the two smaller numbers (81 and 144) is not equal to the square of the largest number (256). So, option B is not a Pythagorean triple.
C. 30, 40, 50:
30^2 + 40^2 = 900 + 1600 = 2500
50^2 = 2500
The sum of the squares of the two smaller numbers (900 and 1600) is equal to the square of the largest number (2500). So, option C is a Pythagorean triple.
D. 38, 44, 49:
38^2 + 44^2 = 1444 + 1936 = 3380
49^2 = 2401
The sum of the squares of the two smaller numbers (1444 and 1936) is not equal to the square of the largest number (2401). So, option D is not a Pythagorean triple.
Therefore, the set that represents a Pythagorean triple is option C: 30, 40, 50.