Question

Question

Use the image to answer the question.

A triangle has vertices labeled lower M upper N, and 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 you have a right triangle with sides \( m \) and \( n \) and a hypotenuse \( a \), the relationship of the sides is given by the equation:

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

This equation states that the sum of the squares of the lengths of the two legs (sides \( m \) and \( n \)) of the triangle is equal to the square of the length of the hypotenuse (side \( a \)).

So, the answer to your question is:

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