Answer:
D. 16,63,65
Step-by-step explanation:
Pythagorean triples are when the squares of the legs of a right triangle equal the hypotenuse squared.
Always good to memorize the pairs.
Let's take a look at these to tell if they are correct.
A. 2,4,8
[tex]2^2+4^2=8^2\\4+16\neq 64[/tex]
Therefore, this is not a triple.
B. 5,12,14 - In case this looked familiar, the triple is actually 5,12,13
[tex]5^2+12^2=14^2\\25+144\neq 196[/tex]
Therefore, this is not a triple.
C. 8,16,32
[tex]8^2+16^2=32^2\\64+256\neq 1024[/tex]
Therefore, this is not a triple.
This leaves us with D, which is now obviously the answer, but let's check it.
[tex]16^2+63^2=65^2\\256+3969=4225[/tex]
This is a triple!
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