Which set represents a Pythagorean triple?
A. 1, 2, 3
B. 9, 12, 16
C. 30, 40, 50
D. 38, 44, 49
So what is the answer
1. D
2.B
3. D
4. A
5. A
6. A
7. C
8. C
9. A
10. A
11. A
12.D
13. B
14. A
15. D
16. A
17. C
18. B
19. D
These are for the Unit 4 Lesson 10 review. THESE ARE FOR CONNECTIONS ACADEMY
hpyi is correct i got a 100
A Pythagorean triple is a set of three positive integers (a, b, c) that satisfy the Pythagorean theorem, which states that the square of the longest side (c) is equal to the sum of the squares of the other two sides (a and b).
To determine which set represents a Pythagorean triple, you need to check if the given set of numbers satisfy this condition:
A. (1, 2, 3)
Checking the condition: 1^2 + 2^2 = 1 + 4 = 5 ≠ 3^2 = 9
This set does not satisfy the Pythagorean theorem.
B. (9, 12, 16)
Checking the condition: 9^2 + 12^2 = 81 + 144 = 225 = 15^2
This set satisfies the Pythagorean theorem.
C. (30, 40, 50)
Checking the condition: 30^2 + 40^2 = 900 + 1600 = 2500 = 50^2
This set satisfies the Pythagorean theorem.
D. (38, 44, 49)
Checking the condition: 38^2 + 44^2 = 1444 + 1936 = 3380 ≠ 49^2 = 2401
This set does not satisfy the Pythagorean theorem.
Therefore, the set that represents a Pythagorean triple is C. (30, 40, 50).