Question

A triangle has sides with lengths of 6 feet, 16 feet, and 17 feet. Is it a right triangle?

Answer 1

No.

Explanation:

This is not a right triangle. Use the Pythagorean Theorem,
`a^(2) + b^(2)=c^(2) \\`, but write it as
`c^(2)= a^(2)+b^(2)`. The hypotenuse would be 17 feet, so you can insert 17 as
`c^(2)`.
`a` and
`b` could be 6 or 16. It can be written either way. The simplified equation would be:

`c^(2)=a^(2) +b^(2) \\17^(2) = 6^(2) + 16^(2) \\17^(2) = 36+ 256\\17^(2)= 292\\289\\eq 292`

This isn't a right triangle.

I hope this helped :)

Answer 2

No it isn’t a right triangle