Which of the following sets of numbers is a Pythagorean triple?

4, 5, 6

8, 15, 17

5, 12, 14

8, 24, 25

Question

Which of the following sets of numbers is a Pythagorean triple?


4, 5, 6

8, 15, 17

5, 12, 14

8, 24, 25

ivettef365 · Answer

use formula to see which one agrees

a^2 + b^2 = c^2

ivettef365 · Answer

lets check the first 4, 5, 6

4^2 + 5^2 = 6^2

16  +  25  = 36
        41  =   36   NOT GOOD, keep checking

anonymous · Answer

ok

anonymous · Answer

Not applicable to this problem, but for future similar problems:
3, 4, 5 is the best know pythagorean triple and any multiple of that. So...
3,4,5 $\rightarrow 3^2+4^2=5^2 \rightarrow 9+16=25 \rightarrow 25=25$
6,8,10$\rightarrow 6^2 + 8^2= 10^2 \rightarrow 36 + 64 = 100 \rightarrow 100=100$
9,12,15$\rightarrow 9^2+12^2=15^2 \rightarrow 81+144 = 225\rightarrow 225=225$
And the pattern continues to infinity. Checking for these first may save you time on a test.