Question

A triangle has side lengths of 5,6 and 8. Is it a right triangle?Explain why or why not?

Answer 1

Not a right triangle

Step-by-step explanation

In a right triangle, the hypotenuse is always the longest side. If these are the side lengths of a right triangle, the sides would be,

The Pythagorean theorem must be true for any right triangle,

`8^2=5^2+6^2`

Let's see if it is indeed true,

`64=25+36`
`64=61\to not.true`

If the Pytagorean theorem is nort true, then this is not a right triangle