To Prove :
Side lengths 6, 8 and 10 will make a right triangle.
Solution :
We know, by Pythagoras theorem :
[tex]a^2+b^2 = c^2[/tex]
Here, c is the biggest side and a and b are other sides.
Putting given values in above equation.
[tex]6^2+8^2 = 10^2\\\\36 + 64 = 100\\\\100 = 100[/tex]
Since, LHS = RHS .
Therefore, lengths 6, 8 and 10 will make a right triangle.