Is 5, 12, 14 a pythagorean triple ? Show why or why not?
2 answers:
Answer:
No
Step-by-step explanation:
Let's test these values using the Pythagorean Theorem.
a^2+b^2=c^2
where a and b are the legs and c is the hypotenuse.
a and b are the legs, or the shorter sides. 5 and 12 are the shorter sides, so they are a and b.
c is the hypotenuse, or the longest side. 14 is the longest side, so it is c.
5^2+12^2=14^2
Evaluate all the exponents
25+144=196
Add 25 and 144
169=196
169196
169 is not equal to 196, so 5, 12 and 14 cannot be a Pythagorean Triple
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