Question

The lengths of the sides of a triangle are given. Classify each triangle as acute, right, or obtuse.A. 4, 5, 6B. 11, 12, 15

Answer 1

To find out if a triangle is acute, right or obtuse we need to use the following rules:

Therefore triangle A is an acute triangle.

B.

In this case c=15, b=12 and a=11. Then:

`\begin{gathered} 11^2+12^2?15^2 \\ 121+144\text{?}225 \\ 265>225 \end{gathered}`

Therefore triangle B is an acute triangle.