Question

How do you determine if the lengths `sqrt5, 7, 14` form a right triangle?

Answer 1

Plug them into the Pythagorean theorem
No, the side lengths do not form a right triangle.

Explanation:

The Pythagorean theorem: `a^2+b^2=c^2`, where `a` and `b` represent the two shortest sides (the legs of a right triangle) and `c` is the hypotenuse (longest side of the right triangle opposite the right angle).

14 is the largest side.

Does `sqrt5^2+7^2` equal `14^2`?

`5+49`

`54`

`14^2=196`

`54!=196`

`54!=14^2`