Question

what is the relationship of the sides in this triangle based on the pythagorean theorem? (1 point)

Explanation:

Step1: Recall the Pythagorean Theorem

The Pythagorean Theorem states that in a right - triangle \(a^{2}+b^{2}=c^{2}\), where \(c\) is the hypotenuse (the side opposite the right angle) and \(a\) and \(b\) are the other two sides.
In triangle \(OMN\), the sum of angles: \(28^{\circ}+62^{\circ}+\angle O = 180^{\circ}\), so \(\angle O=90^{\circ}\). The hypotenuse is \(o\), and the other two sides are \(m\) and \(n\).

Step2: Apply the Pythagorean Theorem

Substitute the sides into the formula. We get \(m^{2}+n^{2}=o^{2}\)

Answer:

\(m^{2}+n^{2}=o^{2}\)