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