verify: a triangle is right angled or not?
solution:
we know for the right angled triangle it follows pythagorean property
[tex](hypotenuse)^2=(base)^2\text{ +\lparen pe}rpendicular\rparen^2[/tex]from the figure,
[tex]\begin{gathered} (12)^2=(8)^2+(6)^2 \\ =64+36 \\ =100 \end{gathered}[/tex]but we know square of 12 is 144.
Hence, it not a right angled triangle.