Given
The side lengths are given 6,8,10.
Explanation
The figure is shown as
To determine the triangle is the right triangle.
The Pythagoras theorem is to be satisfied.
[tex]AC^2=AB^2+BC^2[/tex]Substitute the value of AC, AB, BC in the above formula for check the triangle is the right triangle.
[tex]\begin{gathered} 10^2=6^2+8^2 \\ 100=36+64 \\ 100=100 \end{gathered}[/tex]Answer
Thus the given sides of the triangle is satisfied the Pythagoras theorem.
Hence the triangle is the right triangle.
