Question

Question

Use the image to answer the question.

an image of an upside-down right triangle with letters labeled mno with o on the upper left, n on the top right, and m on the bottom.
What is the relationship of the sides in this triangle based on the Pythagorean Theorem?

(1 point)
m2+n2=

a

Answer 1

In a right triangle, according to the Pythagorean Theorem, the relationship between the lengths of the sides is given by the formula:

\[ a^2 + b^2 = c^2 \]

where \( c \) is the length of the hypotenuse (the side opposite the right angle), and \( a \) and \( b \) are the lengths of the other two sides.

In your case, the triangle is labeled as follows:

• \( m \) is the length of one leg,
• \( n \) is the length of the other leg, and
• \( o \) is the length of the hypotenuse.

Therefore, according to the Pythagorean Theorem, the relationship in this triangle is:

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

So the answer would be:

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