Question

Does 5,5,10 or 3,4,7 make a right triangle

Answer 1

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:

$a^2+b^2=c^2$

Testing the 5,5,10 triangle:

$5^2+5^2=25+25=50$

Note that 50 is not the square of 10, thus this is NOT a right triangle

Now for the triangle 3,4,7:

$3^2+4^2=9+16=25$

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