Question

a triangle has side lengths of 6cm,8cm and 9cmwhat would it be classified as: acute, obtuse and right

Answer 1

Lets draw a picture of our triangle:

A right triangle has one angle thats 90 and a corner that look like an L. Pythagorean theorem applies to this triangle.

On the other hand, obtuse triangles have one angle that's greater than 90 degrees and in acute triangles all angles are less than 90 degrees.

Its not a right triangle because If we apply Pythagorean theorem, we get

`\begin{gathered} 6^2+8^2=9^2 \\ 36+64=81 \\ 100=81\text{ Its wrong!!} \end{gathered}`

Therefore, we have an obtuse triangle because the angle between sides with lenght 6cm and 8cm is greater than 90 degrees.