Question

Are the side lengths 2.2, 8, 9 a pythagorean triple? Why or why not?

Answer 1

No, it does not satisfy the pythagorean theorem.

Step-by-step explanation:

Given the below pair;

`2.2,8,9`

We want to confirm if the pair satisfy pythagorean theorem;

`c^2=a^2+b^2`

so, substituting the two smaller sides into the formula must give the larger side;

`\begin{gathered} c=\sqrt[]{a^2+b^2} \\ \text{substituting 2.2 and 8;} \\ c=\sqrt[]{2.2^2+8^2} \\ c=8.30 \end{gathered}`

Since the equation does not give the third value which is 9. then it does not satisfy Pythagorean theorem.

Therefore;

No, it does not satisfy the pythagorean theorem.