Is this set of numbers a Pythagorean triple? The numbers might not be listed in a, b, c order. $$( 5 , \sqrt { 6 } , 4 )$$
A) yes
B) no

Question

Quizplus · Accepted Answer

To be a Pythagorean triple, the three numbers must satisfy the equation $a^2+b^2=c^2$. However, when we try to use this equation with the given set of numbers, we get $5^2+(\sqrt{6})^2=25+6=31$ which is not equal to $4^2=16$. Therefore, it is not a Pythagorean triple.

Is This Set of Numbers a Pythagorean Triple? the Numbers (5,6,4)( 5 , \sqrt { 6 } , 4 )(5,6​,4)

Is This Set of Numbers a Pythagorean Triple? the Numbers $( 5 , \sqrt { 6 } , 4 )$