The problem asks whether the equation $n^2 = m^2 + o^2$ satisfies the Pythagorean theorem for the given right triangle, where $n$, $m$, and $o$ are the lengths of the sides.

1. Problem Description

The problem asks whether the equation $n^2 = m^2 + o^2$ satisfies the Pythagorean theorem for the given right triangle, where $n$, $m$, and $o$ are the lengths of the sides.

2. Solution Steps

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides (the legs).

In the given triangle, the hypotenuse is $m$, and the legs are $n$ and $o$.

Therefore, according to the Pythagorean theorem:

$m^2 = n^2 + o^2$

The given equation is $n^2 = m^2 + o^2$. This equation is incorrect.

3. Final Answer

Falso