Question

Question

Use the image to answer the question.

A triangle has the vertices labeled upper M upper N upper O.

What is the relationship of the sides in this triangle based on the Pythagorean Theorem?

(1 point)
m2+n2=

a

Answer 1

Based on the Pythagorean Theorem, if triangle \( MNO \) is a right triangle, the relationship of the sides can be expressed as:

\[ a^2 = m^2 + n^2 \]

Here, \( a \) represents the length of the hypotenuse (the side opposite the right angle), and \( m \) and \( n \) represent the lengths of the other two sides.

If you have specific values for the sides \( m \) and \( n \), you can substitute them into the equation \( a^2 = m^2 + n^2 \) to find the length of the hypotenuse \( a \). If triangle \( MNO \) is not a right triangle, then the Pythagorean Theorem does not apply in this straightforward manner.