Question

what could be a side length of a right triangle A.) 30 in, 45 in, 50 in B.) 30 in, 40 in,50 in C.) 30 in, 40 in, 60 in D.) 25 in, 40 in, 50 in​

Answer 1

The pythagorean theorem holds for every right triangle: given the legs $a, b$ and the hypothenuse $c$, the triangle is right if and only if

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

So, you have to check:

$30^2+45^2=2925\neq 2500 = 50^2$

So the first triangle can't be a right triangle.

$30^2+40^2=2500= 50^2$

So the second triangle is a right triangle.

The third triangle can't be right, because it has the same legs but a different hypothenuse

Finally, we have

$25^2+40^2=2225= 50^2$

So the last triangle can't be a right triangle.