In right triangles, the Pythagora's Theorem stand. Recall that if a,b, and c are the side lengths of a triangle, then, being c the longest side:
[tex]a^2+b^2=c^2[/tex]Testing the 5,5,10 triangle:
[tex]5^2+5^2=25+25=50[/tex]Note that 50 is not the square of 10, thus this is NOT a right triangle
Now for the triangle 3,4,7:
[tex]3^2+4^2=9+16=25[/tex]Note that 25 is not the square of 7 (7^2=49)
Thus this triangle is not right either
Answer: None of the given length sides form a right triangle
